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Deck 11: Topics From Analytic Geometry
Full screen (f)
Question
Find an equation for the parabola shown in the figure. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
Find an equation in x and y whose graph contains the points on the curve C. Sketch the graph of C. 
-1 
t 
1
A)
B)
C)
D)
-1 t 1A)
B)
C)
D)
Question
Find an equation of the parabola that satisfies the condition. Focus 
, directrix 
A)
B)
C)
D)
E)
, directrix A)
B)
C)
D)
E)
Question
Find an equation of the parabola that satisfies the given conditions. Vertex at the origin, symmetric to the y-axis, and passing through the point ( 4, 7 )
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
Find an equation for the set of points in an xy-plane such that the difference of the distances from F and F ' is k. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
Find an equation in x and y whose graph contains the points on the curve C. Sketch the graph of C, and indicate the orientation. 
t in 
A)
B)
C)
D)
E)
t in A)
B)
C)
D)
E)
Question
Find the vertices, the foci, and the equations of the asymptotes of the hyperbola. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
Find an equation for the ellipse that has its center at the origin and satisfies the conditions. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
Find the vertices, the foci, and the equations of the asymptotes of the hyperbola. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
Find an equation for the indicated half of the parabola. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
Find the vertices, the foci, and the equations of the asymptotes of the hyperbola. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
Find an equation of the parabola that satisfies the condition. Vertex 
, focus 
A)
B)
C)
D)
E)
, focus A)
B)
C)
D)
E)
Question
Find an equation for the set of points in an xy-plane such that the sum of the distances from 
and 
is 
. 
A)
B)
C)
D)
E)
and is . A)
B)
C)
D)
E)
Question
The parametric equations specify the position of a moving point P ( x, y ) at time t. Sketch the graph. 
A)
B)
C)
D)
A)
B)
C)
D)
Question
Lissajous figures are used in the study of electrical circuits to determine the phase difference 
between a known voltage 
and an unknown voltage 
having the same frequency. The voltages are graphed parametrically as 
and 
. If 
is acute, then 
where y int is the nonnegative y -intercept and y max is the maximum y-value on the curve. Graph the parametric curve and use the graph to approximate 
in degrees if 
A)
B)
C)
D)
E)
between a known voltage and an unknown voltage having the same frequency. The voltages are graphed parametrically as and . If is acute, then where y int is the nonnegative y -intercept and y max is the maximum y-value on the curve. Graph the parametric curve and use the graph to approximate in degrees if A)
B)
C)
D)
E)
Question
Find an equation in x and y whose graph contains the points on the curve C. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
Find an equation for the hyperbola that has its center at the origin and satisfies the given conditions. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
Change the rectangular coordinates 
to polar coordinates with 
and 
.
A)
B)
C)
D)
E)
to polar coordinates with and .A)
B)
C)
D)
E)
Question
Find an equation for the indicated half of the parabola. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
Find an equation of the parabola that satisfies the condition. Vertex 
, directrix 
A)
B)
C)
D)
E)
, directrix A)
B)
C)
D)
E)
Question
Find an equation of the parabola that satisfies the condition. Focus 
, directrix 
A)
B)
C)
D)
E)
, directrix A)
B)
C)
D)
E)
Question
Find an equation for the set of points in an xy-plane such that the difference of the distances from F and F ' is k. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
Find an equation for the ellipse that has its center at the origin and satisfies the conditions. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
Find an equation for the parabola shown in the figure. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
Find the vertices, the foci, and the equations of the asymptotes of the hyperbola. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
Find an equation of the parabola that satisfies the condition. Vertex 
, focus 
A)
B)
C)
D)
E)
, focus A)
B)
C)
D)
E)
Question
Find an equation of the parabola that satisfies the condition. Vertex 
, directrix 
A)
B)
C)
D)
E)
, directrix A)
B)
C)
D)
E)
Question
Sketch the graph of the polar equation. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
Find an equation in x and y for the polar equation. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
Polar equations of conics can be used to describe the motion of comets. These paths can be graphed using the following polar equation, where e is the eccentricity of the conic and r per is the perihelion distance measured in AU. The orbit of Saturn has r per = 9.006 and e = 0.056. The motion of Encke's Comet has r per = 0.3317 and e = 2.718282. Graph both the motion of the comet and the orbit of Saturn. 
A)
B)
C)
D)
A)
B)
C)
D)
Question
Find an equation in x and y whose graph contains the points on the curve C. Sketch the graph of C, and indicate the orientation. 
t in 
A)
B)
C)
D)
E)
t in A)
B)
C)
D)
E)
Question
Find an equation for the set of points in an xy-plane such that the sum of the distances from 
and 
is 
. 
A)
B)
C)
D)
E)
and is . A)
B)
C)
D)
E)
Question
Find an equation in x and y that has the same graph as the polar equation. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
Find an equation of the parabola that satisfies the given conditions. Vertex at the origin, symmetric to the y-axis, and passing through the point ( 5, 8 )
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
Find an equation for the hyperbola that has its center at the origin and satisfies the given conditions. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
Find the vertices, the foci, and the equations of the asymptotes of the hyperbola. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
Find an equation for the indicated half of the parabola. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
Find the vertices, the foci, and the equations of the asymptotes of the hyperbola. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
Find an equation for the indicated half of the parabola. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
Find a polar equation of the conic with focus at the pole that has the eccentricity and equation of directrix. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
Find an equation of the parabola that satisfies the condition. Focus 
, directrix 
A)
B)
C)
D)
E)
, directrix A)
B)
C)
D)
E)
Question
Find an equation in x and y for the polar equation. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
Find an equation for the indicated half of the parabola. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
Change the rectangular coordinates 
to polar coordinates with 
and 
.
A)
B)
C)
D)
E)
to polar coordinates with and .A)
B)
C)
D)
E)
Question
Find an equation for the ellipse that has its center at the origin and satisfies the conditions. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
Find a polar equation of the conic with focus at the pole that has the eccentricity and equation of directrix. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
Find an equation for the parabola shown in the figure. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
Polar equations of conics can be used to describe the motion of comets. These paths can be graphed using the following polar equation, where e is the eccentricity of the conic and r per is the perihelion distance measured in AU. The orbit of Saturn has r per = 9.006 and e = 0.056. The motion of Comet 1973.99 has r per = 0.142 and e = 2.718282. Graph both the motion of the comet and the orbit of Saturn. 
A)
B)
C)
D)
A)
B)
C)
D)
Question
Find an equation of the parabola that satisfies the condition. Vertex 
, directrix 
A)
B)
C)
D)
E)
, directrix A)
B)
C)
D)
E)
Question
Find an equation in x and y whose graph contains the points on the curve C. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
Find an equation of the parabola that satisfies the given conditions. Vertex at the origin, symmetric to the y-axis, and passing through the point ( 2, 5 )
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
Lissajous figures are used in the study of electrical circuits to determine the phase difference 
between a known voltage 
and an unknown voltage 
having the same frequency. The voltages are graphed parametrically as 
and 
. If 
is acute, then 
where y int is the nonnegative y -intercept and y max is the maximum y-value on the curve. Graph the parametric curve and use the graph to approximate 
in degrees if 
A)
B)
C)
D)
E)
between a known voltage and an unknown voltage having the same frequency. The voltages are graphed parametrically as and . If is acute, then where y int is the nonnegative y -intercept and y max is the maximum y-value on the curve. Graph the parametric curve and use the graph to approximate in degrees if A)
B)
C)
D)
E)
Question
Find the vertices, the foci, and the equations of the asymptotes of the hyperbola. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
Find an equation in x and y that has the same graph as the polar equation. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
Find an equation for the set of points in an xy-plane such that the sum of the distances from 
and 
is 
. 
A)
B)
C)
D)
E)
and is . A)
B)
C)
D)
E)
Question
The parametric equations specify the position of a moving point P ( x, y ) at time t. Sketch the graph. 
A)
B)
C)
D)
A)
B)
C)
D)
Question
Find an equation of the parabola that satisfies the condition. Vertex 
, focus 
A)
B)
C)
D)
E)
, focus A)
B)
C)
D)
E)
Question
Sketch the graph of the polar equation. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
Find an equation for the indicated half of the parabola. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
Find an equation in x and y whose graph contains the points on the curve C. Sketch the graph of C. 
-1 
t 
1
A)
B)
C)
D)
-1 t 1A)
B)
C)
D)
Question
Find the foci of the ellipse. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
Find the foci of the ellipse. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
Find an equation in x and y whose graph contains the points on the curve C. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
Find an equation for the parabola that has a horizontal axis and passes through the given points. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
Find an equation of the parabola that satisfies the condition. Vertex 
, focus 
A)
B)
C)
D)
E)
, focus A)
B)
C)
D)
E)
Question
Find the vertices, the foci, and the equations of the asymptotes of the hyperbola. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
Find an equation in x and y that has the same graph as the polar equation. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
Find the vertices, the foci, and the equations of the asymptotes of the hyperbola. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
Change the rectangular coordinates 
to polar coordinates with 
and 
.
A)
B)
C)
D)
E)
to polar coordinates with and .A)
B)
C)
D)
E)
Question
Sketch the graph of the polar equation. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
Find an equation in x and y whose graph contains the points on the curve C. Sketch the graph of C, and indicate the orientation. 
t in 
A)
B)
C)
D)
E)
t in A)
B)
C)
D)
E)
Question
The parametric equations specify the position of a moving point P ( x, y ) at time t. Sketch the graph. 
A)
B)
C)
D)
A)
B)
C)
D)
Question
Find a polar equation of the conic with focus at the pole that has the eccentricity and equation of directrix. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
Lissajous figures are used in the study of electrical circuits to determine the phase difference 
between a known voltage 
and an unknown voltage 
having the same frequency. The voltages are graphed parametrically as 
and 
. If 
is acute, then 
where y int is the nonnegative y -intercept and y max is the maximum y-value on the curve. Graph the parametric curve and use the graph to approximate 
in degrees if 
A)
B)
C)
D)
E)
between a known voltage and an unknown voltage having the same frequency. The voltages are graphed parametrically as and . If is acute, then where y int is the nonnegative y -intercept and y max is the maximum y-value on the curve. Graph the parametric curve and use the graph to approximate in degrees if A)
B)
C)
D)
E)
Question
Find an equation in x and y whose graph contains the points on the curve C. Sketch the graph of C. 
-1 
t 
1
A)
B)
C)
D)
-1 t 1A)
B)
C)
D)
Question
Find an equation for the hyperbola that has its center at the origin and satisfies the given conditions. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
Find an equation for the set of points in an xy-plane that are equidistant from the point P and the line l. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
Find an equation for the set of points in an xy-plane such that the difference of the distances from F and F ' is k. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
Polar equations of conics can be used to describe the motion of comets. These paths can be graphed using the following polar equation, where e is the eccentricity of the conic and r per is the perihelion distance measured in AU. The orbit of Saturn has r per = 9.006 and e = 0.056. The motion of Comet 1973.99 has r per = 0.142 and e = 2.718282. Graph both the motion of the comet and the orbit of Saturn. 
A)
B)
C)
D)
A)
B)
C)
D)
Question
Find an equation in x and y for the polar equation. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
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Full screen (f)
Deck 11: Topics From Analytic Geometry
1
Find an equation for the parabola shown in the figure.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
2
Find an equation in x and y whose graph contains the points on the curve C. Sketch the graph of C. -1 t 1
A)
B)
C)
D)
-1 t 1A)
B)
C)
D)
3
Find an equation of the parabola that satisfies the condition. Focus , directrix
A)
B)
C)
D)
E)
, directrix A)
B)
C)
D)
E)
4
Find an equation of the parabola that satisfies the given conditions. Vertex at the origin, symmetric to the y-axis, and passing through the point ( 4, 7 )
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Unlock Deck
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k this deck
5
Find an equation for the set of points in an xy-plane such that the difference of the distances from F and F ' is k.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Unlock Deck
Unlock for access to all 150 flashcards in this deck.
Unlock Deck
k this deck
6
Find an equation in x and y whose graph contains the points on the curve C. Sketch the graph of C, and indicate the orientation. t in
A)
B)
C)
D)
E)
t in A)
B)
C)
D)
E)
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Unlock for access to all 150 flashcards in this deck.
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7
Find the vertices, the foci, and the equations of the asymptotes of the hyperbola.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
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8
Find an equation for the ellipse that has its center at the origin and satisfies the conditions.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Unlock Deck
Unlock for access to all 150 flashcards in this deck.
Unlock Deck
k this deck
9
Find the vertices, the foci, and the equations of the asymptotes of the hyperbola.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
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10
Find an equation for the indicated half of the parabola.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
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Unlock for access to all 150 flashcards in this deck.
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11
Find the vertices, the foci, and the equations of the asymptotes of the hyperbola.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
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12
Find an equation of the parabola that satisfies the condition. Vertex , focus
A)
B)
C)
D)
E)
, focus A)
B)
C)
D)
E)
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13
Find an equation for the set of points in an xy-plane such that the sum of the distances from and is .
A)
B)
C)
D)
E)
and is . A)
B)
C)
D)
E)
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Unlock for access to all 150 flashcards in this deck.
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14
The parametric equations specify the position of a moving point P ( x, y ) at time t. Sketch the graph.
A)
B)
C)
D)
A)
B)
C)
D)
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Unlock for access to all 150 flashcards in this deck.
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k this deck
15
Lissajous figures are used in the study of electrical circuits to determine the phase difference between a known voltage and an unknown voltage having the same frequency. The voltages are graphed parametrically as and . If is acute, then where y int is the nonnegative y -intercept and y max is the maximum y-value on the curve. Graph the parametric curve and use the graph to approximate in degrees if
A)
B)
C)
D)
E)
between a known voltage and an unknown voltage having the same frequency. The voltages are graphed parametrically as and . If is acute, then where y int is the nonnegative y -intercept and y max is the maximum y-value on the curve. Graph the parametric curve and use the graph to approximate in degrees if A)
B)
C)
D)
E)
Unlock Deck
Unlock for access to all 150 flashcards in this deck.
Unlock Deck
k this deck
16
Find an equation in x and y whose graph contains the points on the curve C.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
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Unlock for access to all 150 flashcards in this deck.
Unlock Deck
k this deck
17
Find an equation for the hyperbola that has its center at the origin and satisfies the given conditions.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
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Unlock for access to all 150 flashcards in this deck.
Unlock Deck
k this deck
18
Change the rectangular coordinates to polar coordinates with and .
A)
B)
C)
D)
E)
to polar coordinates with and .A)
B)
C)
D)
E)
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Unlock for access to all 150 flashcards in this deck.
Unlock Deck
k this deck
19
Find an equation for the indicated half of the parabola.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
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20
Find an equation of the parabola that satisfies the condition. Vertex , directrix
A)
B)
C)
D)
E)
, directrix A)
B)
C)
D)
E)
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k this deck
21
Find an equation of the parabola that satisfies the condition. Focus , directrix
A)
B)
C)
D)
E)
, directrix A)
B)
C)
D)
E)
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Unlock Deck
k this deck
22
Find an equation for the set of points in an xy-plane such that the difference of the distances from F and F ' is k.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Unlock Deck
Unlock for access to all 150 flashcards in this deck.
Unlock Deck
k this deck
23
Find an equation for the ellipse that has its center at the origin and satisfies the conditions.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
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24
Find an equation for the parabola shown in the figure.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
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25
Find the vertices, the foci, and the equations of the asymptotes of the hyperbola.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
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26
Find an equation of the parabola that satisfies the condition. Vertex , focus
A)
B)
C)
D)
E)
, focus A)
B)
C)
D)
E)
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27
Find an equation of the parabola that satisfies the condition. Vertex , directrix
A)
B)
C)
D)
E)
, directrix A)
B)
C)
D)
E)
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28
Sketch the graph of the polar equation.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
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29
Find an equation in x and y for the polar equation.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
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30
Polar equations of conics can be used to describe the motion of comets. These paths can be graphed using the following polar equation, where e is the eccentricity of the conic and r per is the perihelion distance measured in AU. The orbit of Saturn has r per = 9.006 and e = 0.056. The motion of Encke's Comet has r per = 0.3317 and e = 2.718282. Graph both the motion of the comet and the orbit of Saturn.
A)
B)
C)
D)
A)
B)
C)
D)
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31
Find an equation in x and y whose graph contains the points on the curve C. Sketch the graph of C, and indicate the orientation. t in
A)
B)
C)
D)
E)
t in A)
B)
C)
D)
E)
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k this deck
32
Find an equation for the set of points in an xy-plane such that the sum of the distances from and is .
A)
B)
C)
D)
E)
and is . A)
B)
C)
D)
E)
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k this deck
33
Find an equation in x and y that has the same graph as the polar equation.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
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34
Find an equation of the parabola that satisfies the given conditions. Vertex at the origin, symmetric to the y-axis, and passing through the point ( 5, 8 )
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
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k this deck
35
Find an equation for the hyperbola that has its center at the origin and satisfies the given conditions.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
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36
Find the vertices, the foci, and the equations of the asymptotes of the hyperbola.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
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37
Find an equation for the indicated half of the parabola.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
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k this deck
38
Find the vertices, the foci, and the equations of the asymptotes of the hyperbola.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Unlock Deck
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k this deck
39
Find an equation for the indicated half of the parabola.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Unlock Deck
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Unlock Deck
k this deck
40
Find a polar equation of the conic with focus at the pole that has the eccentricity and equation of directrix.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
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k this deck
41
Find an equation of the parabola that satisfies the condition. Focus , directrix
A)
B)
C)
D)
E)
, directrix A)
B)
C)
D)
E)
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k this deck
42
Find an equation in x and y for the polar equation.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Unlock Deck
Unlock for access to all 150 flashcards in this deck.
Unlock Deck
k this deck
43
Find an equation for the indicated half of the parabola.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Unlock Deck
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Unlock Deck
k this deck
44
Change the rectangular coordinates to polar coordinates with and .
A)
B)
C)
D)
E)
to polar coordinates with and .A)
B)
C)
D)
E)
Unlock Deck
Unlock for access to all 150 flashcards in this deck.
Unlock Deck
k this deck
45
Find an equation for the ellipse that has its center at the origin and satisfies the conditions.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
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Unlock Deck
k this deck
46
Find a polar equation of the conic with focus at the pole that has the eccentricity and equation of directrix.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Unlock Deck
Unlock for access to all 150 flashcards in this deck.
Unlock Deck
k this deck
47
Find an equation for the parabola shown in the figure.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Unlock Deck
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Unlock Deck
k this deck
48
Polar equations of conics can be used to describe the motion of comets. These paths can be graphed using the following polar equation, where e is the eccentricity of the conic and r per is the perihelion distance measured in AU. The orbit of Saturn has r per = 9.006 and e = 0.056. The motion of Comet 1973.99 has r per = 0.142 and e = 2.718282. Graph both the motion of the comet and the orbit of Saturn.
A)
B)
C)
D)
A)
B)
C)
D)
Unlock Deck
Unlock for access to all 150 flashcards in this deck.
Unlock Deck
k this deck
49
Find an equation of the parabola that satisfies the condition. Vertex , directrix
A)
B)
C)
D)
E)
, directrix A)
B)
C)
D)
E)
Unlock Deck
Unlock for access to all 150 flashcards in this deck.
Unlock Deck
k this deck
50
Find an equation in x and y whose graph contains the points on the curve C.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Unlock Deck
Unlock for access to all 150 flashcards in this deck.
Unlock Deck
k this deck
51
Find an equation of the parabola that satisfies the given conditions. Vertex at the origin, symmetric to the y-axis, and passing through the point ( 2, 5 )
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Unlock Deck
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Unlock Deck
k this deck
52
Lissajous figures are used in the study of electrical circuits to determine the phase difference between a known voltage and an unknown voltage having the same frequency. The voltages are graphed parametrically as and . If is acute, then where y int is the nonnegative y -intercept and y max is the maximum y-value on the curve. Graph the parametric curve and use the graph to approximate in degrees if
A)
B)
C)
D)
E)
between a known voltage and an unknown voltage having the same frequency. The voltages are graphed parametrically as and . If is acute, then where y int is the nonnegative y -intercept and y max is the maximum y-value on the curve. Graph the parametric curve and use the graph to approximate in degrees if A)
B)
C)
D)
E)
Unlock Deck
Unlock for access to all 150 flashcards in this deck.
Unlock Deck
k this deck
53
Find the vertices, the foci, and the equations of the asymptotes of the hyperbola.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Unlock Deck
Unlock for access to all 150 flashcards in this deck.
Unlock Deck
k this deck
54
Find an equation in x and y that has the same graph as the polar equation.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Unlock Deck
Unlock for access to all 150 flashcards in this deck.
Unlock Deck
k this deck
55
Find an equation for the set of points in an xy-plane such that the sum of the distances from and is .
A)
B)
C)
D)
E)
and is . A)
B)
C)
D)
E)
Unlock Deck
Unlock for access to all 150 flashcards in this deck.
Unlock Deck
k this deck
56
The parametric equations specify the position of a moving point P ( x, y ) at time t. Sketch the graph.
A)
B)
C)
D)
A)
B)
C)
D)
Unlock Deck
Unlock for access to all 150 flashcards in this deck.
Unlock Deck
k this deck
57
Find an equation of the parabola that satisfies the condition. Vertex , focus
A)
B)
C)
D)
E)
, focus A)
B)
C)
D)
E)
Unlock Deck
Unlock for access to all 150 flashcards in this deck.
Unlock Deck
k this deck
58
Sketch the graph of the polar equation.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Unlock Deck
Unlock for access to all 150 flashcards in this deck.
Unlock Deck
k this deck
59
Find an equation for the indicated half of the parabola.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Unlock Deck
Unlock for access to all 150 flashcards in this deck.
Unlock Deck
k this deck
60
Find an equation in x and y whose graph contains the points on the curve C. Sketch the graph of C. -1 t 1
A)
B)
C)
D)
-1 t 1A)
B)
C)
D)
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61
Find the foci of the ellipse.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Unlock Deck
Unlock for access to all 150 flashcards in this deck.
Unlock Deck
k this deck
62
Find the foci of the ellipse.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Unlock Deck
Unlock for access to all 150 flashcards in this deck.
Unlock Deck
k this deck
63
Find an equation in x and y whose graph contains the points on the curve C.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Unlock Deck
Unlock for access to all 150 flashcards in this deck.
Unlock Deck
k this deck
64
Find an equation for the parabola that has a horizontal axis and passes through the given points.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
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k this deck
65
Find an equation of the parabola that satisfies the condition. Vertex , focus
A)
B)
C)
D)
E)
, focus A)
B)
C)
D)
E)
Unlock Deck
Unlock for access to all 150 flashcards in this deck.
Unlock Deck
k this deck
66
Find the vertices, the foci, and the equations of the asymptotes of the hyperbola.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Unlock Deck
Unlock for access to all 150 flashcards in this deck.
Unlock Deck
k this deck
67
Find an equation in x and y that has the same graph as the polar equation.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Unlock Deck
Unlock for access to all 150 flashcards in this deck.
Unlock Deck
k this deck
68
Find the vertices, the foci, and the equations of the asymptotes of the hyperbola.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Unlock Deck
Unlock for access to all 150 flashcards in this deck.
Unlock Deck
k this deck
69
Change the rectangular coordinates to polar coordinates with and .
A)
B)
C)
D)
E)
to polar coordinates with and .A)
B)
C)
D)
E)
Unlock Deck
Unlock for access to all 150 flashcards in this deck.
Unlock Deck
k this deck
70
Sketch the graph of the polar equation.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Unlock Deck
Unlock for access to all 150 flashcards in this deck.
Unlock Deck
k this deck
71
Find an equation in x and y whose graph contains the points on the curve C. Sketch the graph of C, and indicate the orientation. t in
A)
B)
C)
D)
E)
t in A)
B)
C)
D)
E)
Unlock Deck
Unlock for access to all 150 flashcards in this deck.
Unlock Deck
k this deck
72
The parametric equations specify the position of a moving point P ( x, y ) at time t. Sketch the graph.
A)
B)
C)
D)
A)
B)
C)
D)
Unlock Deck
Unlock for access to all 150 flashcards in this deck.
Unlock Deck
k this deck
73
Find a polar equation of the conic with focus at the pole that has the eccentricity and equation of directrix.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Unlock Deck
Unlock for access to all 150 flashcards in this deck.
Unlock Deck
k this deck
74
Lissajous figures are used in the study of electrical circuits to determine the phase difference between a known voltage and an unknown voltage having the same frequency. The voltages are graphed parametrically as and . If is acute, then where y int is the nonnegative y -intercept and y max is the maximum y-value on the curve. Graph the parametric curve and use the graph to approximate in degrees if
A)
B)
C)
D)
E)
between a known voltage and an unknown voltage having the same frequency. The voltages are graphed parametrically as and . If is acute, then where y int is the nonnegative y -intercept and y max is the maximum y-value on the curve. Graph the parametric curve and use the graph to approximate in degrees if A)
B)
C)
D)
E)
Unlock Deck
Unlock for access to all 150 flashcards in this deck.
Unlock Deck
k this deck
75
Find an equation in x and y whose graph contains the points on the curve C. Sketch the graph of C. -1 t 1
A)
B)
C)
D)
-1 t 1A)
B)
C)
D)
Unlock Deck
Unlock for access to all 150 flashcards in this deck.
Unlock Deck
k this deck
76
Find an equation for the hyperbola that has its center at the origin and satisfies the given conditions.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Unlock Deck
Unlock for access to all 150 flashcards in this deck.
Unlock Deck
k this deck
77
Find an equation for the set of points in an xy-plane that are equidistant from the point P and the line l.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Unlock Deck
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Unlock Deck
k this deck
78
Find an equation for the set of points in an xy-plane such that the difference of the distances from F and F ' is k.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Unlock Deck
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Unlock Deck
k this deck
79
Polar equations of conics can be used to describe the motion of comets. These paths can be graphed using the following polar equation, where e is the eccentricity of the conic and r per is the perihelion distance measured in AU. The orbit of Saturn has r per = 9.006 and e = 0.056. The motion of Comet 1973.99 has r per = 0.142 and e = 2.718282. Graph both the motion of the comet and the orbit of Saturn.
A)
B)
C)
D)
A)
B)
C)
D)
Unlock Deck
Unlock for access to all 150 flashcards in this deck.
Unlock Deck
k this deck
80
Find an equation in x and y for the polar equation.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Unlock Deck
Unlock for access to all 150 flashcards in this deck.
Unlock Deck
k this deck
Unlock Deck
Unlock for access to all 150 flashcards in this deck.
