Question 1

Graph the relation. Identify the graph and give the the radius, center, vertices, and foci as applicable.
-$x^{2}+y^{2}-8 x+2 y+17=0$

Accepted Answer

Point (circle of radius 0$)$; Center $(4,-1)$

Question 2

Match each equation on the left with the appropriate description of its graph on the right.
-$(x-2)^{2}+y=1$

Accepted Answer

A)  Circle; center $(2,-1)$; radius 3 
B)  Hyperbola; center $(2,1)$ 
C)  Parabola; opens left 
D)  Circle; center $(-2,1)$; radius 3 
E)  Parabola; opens downward
F) Ellipse; center $(2,1)$ 
A)  Circle; center $(2,-1)$; radius 3 
B)  Hyperbola; center $(2,1)$ 
C)  Parabola; opens left 
D)  Circle; center $(-2,1)$; radius 3 
E)  Parabola; opens downward
F) Ellipse; center $(2,1)$ E

Question 3

Match each equation on the left with the appropriate description of its graph on the right.
-$4(x-6)^{2}-25(y+2)^{2}=100$

Accepted Answer

A)  Circle; center $(6,-2)$; radius 5 
B)  Hyperbola; center $(6,-2)$ 
C)  Parabola; opens left 
D)  Circle; center $(-6,2)$; radius 5 
E)  Parabola; opens downward
F) Ellipse; center $(6,2)$ 
A)  Circle; center $(6,-2)$; radius 5 
B)  Hyperbola; center $(6,-2)$ 
C)  Parabola; opens left 
D)  Circle; center $(-6,2)$; radius 5 
E)  Parabola; opens downward
F) Ellipse; center $(6,2)$ B

Question 4

Graph the relation. Identify the graph and give the the radius, center, vertices, and foci as applicable.
-$y^{2}-4 x-2 y+13=0$

Accepted Answer

@#IMG-DLM& 
Parabola

Question 5

Match each equation on the left with the appropriate description of its graph on the right.
-$(x+3)^{2}+(y-1)^{2}=16$

Accepted Answer

A)  Ellipse; center $(3,1)$ 
B)  Hyperbola; center $(3,1)$ 
C)  Circle; center $(3,-1)$; radius 4 
D)  Parabola; opens downward 
E)  Circle; center $(-3,1)$; radius 4
F) Parabola; opens left 
A)  Ellipse; center $(3,1)$ 
B)  Hyperbola; center $(3,1)$ 
C)  Circle; center $(3,-1)$; radius 4 
D)  Parabola; opens downward 
E)  Circle; center $(-3,1)$; radius 4
F) Parabola; opens left

Question 6

Match each equation on the left with the appropriate description of its graph on the right.
-$(x+4)^{2}-y=3$

Accepted Answer

A)  Ellipse; center $(-4,-3)$ 
B)  Parabola; opens right 
C)  Circle; center (4, -3$)$; radius 6 
D)  Parabola; opens upward 
E)  Circle; center $(-4,3)$; radius 6
F) Hyperbola; center $(4,-3)$ 
A)  Ellipse; center $(-4,-3)$ 
B)  Parabola; opens right 
C)  Circle; center (4, -3$)$; radius 6 
D)  Parabola; opens upward 
E)  Circle; center $(-4,3)$; radius 6
F) Hyperbola; center $(4,-3)$

Question 7

Give the coordinates of the focus and the equation of the directrix for the parabola with equation $x=5 y^{2}$.

Accepted Answer

The answer of Give the coordinates of the focus and...

Question 8

Match each equation on the left with the appropriate description of its graph on the right.
-$(x+2)^{2}+(y-1)^{2}=9$

Accepted Answer

A)  Circle; center $(2,-1)$; radius 3 
B)  Hyperbola; center $(2,1)$ 
C)  Parabola; opens left 
D)  Circle; center $(-2,1)$; radius 3 
E)  Parabola; opens downward
F) Ellipse; center $(2,1)$ 
A)  Circle; center $(2,-1)$; radius 3 
B)  Hyperbola; center $(2,1)$ 
C)  Parabola; opens left 
D)  Circle; center $(-2,1)$; radius 3 
E)  Parabola; opens downward
F) Ellipse; center $(2,1)$

Question 9

Give the coordinates of the focus and the equation of the directrix for the parabola with equation $x=-2 y^{2}$.

Accepted Answer

The answer of Give the coordinates of the focus and...

Question 10

Graph the relation. Identify the graph and give the the radius, center, vertices, and foci as applicable.
-$x^{2}-4 y-10 x+1=0$

Accepted Answer

@#IMG-DLM& 
Parabola

Question 11

Give the coordinates of the focus and the equation of the directrix for the parabola with equation $y=3 x^{2}$.

Accepted Answer

The answer of Give the coordinates of the focus and...

Question 12

Match each equation on the left with the appropriate description of its graph on the right.
-$(x-3)^{2}-4(y-1)^{2}=16$

Accepted Answer

A)  Ellipse; center $(3,1)$ 
B)  Hyperbola; center $(3,1)$ 
C)  Circle; center $(3,-1)$; radius 4 
D)  Parabola; opens downward 
E)  Circle; center $(-3,1)$; radius 4
F) Parabola; opens left 
A)  Ellipse; center $(3,1)$ 
B)  Hyperbola; center $(3,1)$ 
C)  Circle; center $(3,-1)$; radius 4 
D)  Parabola; opens downward 
E)  Circle; center $(-3,1)$; radius 4
F) Parabola; opens left

Question 13

Write an equation for each of the following.
(a) The conic with center at the origin, focus at $(10,0)$ and $e=\frac{5}{3}$.
(b) The conic centered at the origin with vertical major axis of length 6 and $e=\frac{1}{3}$.

Accepted Answer

The answer of Write an equation for each of the...

Question 14

Match each equation on the left with the appropriate description of its graph on the right.
-$(y+1)^{2}+x=2$

Accepted Answer

A)  Circle; center $(2,-1)$; radius 3 
B)  Hyperbola; center $(2,1)$ 
C)  Parabola; opens left 
D)  Circle; center $(-2,1)$; radius 3 
E)  Parabola; opens downward
F) Ellipse; center $(2,1)$ 
A)  Circle; center $(2,-1)$; radius 3 
B)  Hyperbola; center $(2,1)$ 
C)  Parabola; opens left 
D)  Circle; center $(-2,1)$; radius 3 
E)  Parabola; opens downward
F) Ellipse; center $(2,1)$

Question 15

Write an equation for each of the following.
(a) The conic with center at the origin, focus at $(10,0)$ and $e=\frac{5}{6}$.
(b) The conic centered at the origin with focus at $(0,13)$ and $e=\frac{13}{5}$.

Accepted Answer

The answer of Write an equation for each of the...

Question 16

Graph $y=2 \sqrt{1-\frac{x^{2}}{4}}$. Is the graph that of a function? Find the domain and range.

Accepted Answer

@#IMG-DLM& 
Yes. Dom

Question 17

Graph the relation. Identify the graph and give the the radius, center, vertices, and foci as applicable.
-$x^{2}+y^{2}+14 x-6 y+57=0$

Accepted Answer

@#IMG-DLM& 
Circle;

Question 18

Graph the relation. Identify the graph and give the the radius, center, vertices, and foci as applicable.
-$\frac{(x-1)^{2}}{25}+\frac{(y+1)^{2}}{64}=1$

Accepted Answer

@#IMG-DLM& 
Ellipse;

Question 19

Graph the relation. Identify the graph and give the the radius, center, vertices, and foci as applicable
-$x=t+1, y=3 \sqrt{1-\frac{t^{2}}{25}}-2, t$ in $[-5,0]$

Accepted Answer

@#IMG-DLM& 
Quarter Ellipse; c

Question 20

Graph the relation. Identify the graph and give the the radius, center, vertices, and foci as applicable
-$x^{2}+y^{2}-16 x-6 y+69=0$

Accepted Answer

@#IMG-DLM& 
Circle;

Graph the relation. Identify the graph and give the the radius, center, vertices, and foci as applicable. - $x^{2}+y^{2}-8 x+2 y+17=0$

Match each equation on the left with the appropriate description of its graph on the right. - $(x-2)^{2}+y=1$

Match each equation on the left with the appropriate description of its graph on the right. - $4(x-6)^{2}-25(y+2)^{2}=100$

Graph the relation. Identify the graph and give the the radius, center, vertices, and foci as applicable. - $y^{2}-4 x-2 y+13=0$

Match each equation on the left with the appropriate description of its graph on the right. - $(x+3)^{2}+(y-1)^{2}=16$

Match each equation on the left with the appropriate description of its graph on the right. - $(x+4)^{2}-y=3$

Give the coordinates of the focus and the equation of the directrix for the parabola with equation $x=5 y^{2}$ .

Match each equation on the left with the appropriate description of its graph on the right. - $(x+2)^{2}+(y-1)^{2}=9$

Give the coordinates of the focus and the equation of the directrix for the parabola with equation $x=-2 y^{2}$ .

Graph the relation. Identify the graph and give the the radius, center, vertices, and foci as applicable. - $x^{2}-4 y-10 x+1=0$

Give the coordinates of the focus and the equation of the directrix for the parabola with equation $y=3 x^{2}$ .

Match each equation on the left with the appropriate description of its graph on the right. - $(x-3)^{2}-4(y-1)^{2}=16$

Write an equation for each of the following. (a) The conic with center at the origin, focus at $(10,0)$ and $e=\frac{5}{3}$ . (b) The conic centered at the origin with vertical major axis of length 6 and $e=\frac{1}{3}$ .

Match each equation on the left with the appropriate description of its graph on the right. - $(y+1)^{2}+x=2$

Write an equation for each of the following. (a) The conic with center at the origin, focus at $(10,0)$ and $e=\frac{5}{6}$ . (b) The conic centered at the origin with focus at $(0,13)$ and $e=\frac{13}{5}$ .

Graph $y=2 \sqrt{1-\frac{x^{2}}{4}}$ . Is the graph that of a function? Find the domain and range.

Graph the relation. Identify the graph and give the the radius, center, vertices, and foci as applicable. - $x^{2}+y^{2}+14 x-6 y+57=0$

Graph the relation. Identify the graph and give the the radius, center, vertices, and foci as applicable. - $\frac{(x-1)^{2}}{25}+\frac{(y+1)^{2}}{64}=1$

Graph the relation. Identify the graph and give the the radius, center, vertices, and foci as applicable - $x=t+1, y=3 \sqrt{1-\frac{t^{2}}{25}}-2, t$ in $[-5,0]$

Graph the relation. Identify the graph and give the the radius, center, vertices, and foci as applicable - $x^{2}+y^{2}-16 x-6 y+69=0$

Linear Functions, Equations, and Inequalities

Analysis of Graphs of Functions

Polynomial Functions

Rational, Power, and Root Functions

Inverse, Exponential, and Logarithmic Functions

Analytic Geometry and Nonlinear Systems

The Unit Circle and Functions of Trigonometry

Trigonometric Identities and Equations

Applications of Trigonometry and Vectors

Further Topics in Algebra

Limits, Derivatives, and Definite Integrals

Reference: Basic Algebraic Concepts

Filters

Exam 6: Systems and Matrices

Graph the relation. Identify the graph and give the the radius, center, vertices, and foci as applicable. - x2+y2−8x+2y+17=0x^{2}+y^{2}-8 x+2 y+17=0x2+y2−8x+2y+17=0

Match each equation on the left with the appropriate description of its graph on the right. - (x−2)2+y=1(x-2)^{2}+y=1(x−2)2+y=1

Match each equation on the left with the appropriate description of its graph on the right. - 4(x−6)2−25(y+2)2=1004(x-6)^{2}-25(y+2)^{2}=1004(x−6)2−25(y+2)2=100

Graph the relation. Identify the graph and give the the radius, center, vertices, and foci as applicable. - y2−4x−2y+13=0y^{2}-4 x-2 y+13=0y2−4x−2y+13=0

Match each equation on the left with the appropriate description of its graph on the right. - (x+3)2+(y−1)2=16(x+3)^{2}+(y-1)^{2}=16(x+3)2+(y−1)2=16

Match each equation on the left with the appropriate description of its graph on the right. - (x+4)2−y=3(x+4)^{2}-y=3(x+4)2−y=3

Give the coordinates of the focus and the equation of the directrix for the parabola with equation x=5y2x=5 y^{2}x=5y2 .

Match each equation on the left with the appropriate description of its graph on the right. - (x+2)2+(y−1)2=9(x+2)^{2}+(y-1)^{2}=9(x+2)2+(y−1)2=9

Give the coordinates of the focus and the equation of the directrix for the parabola with equation x=−2y2x=-2 y^{2}x=−2y2 .

Graph the relation. Identify the graph and give the the radius, center, vertices, and foci as applicable. - x2−4y−10x+1=0x^{2}-4 y-10 x+1=0x2−4y−10x+1=0

Give the coordinates of the focus and the equation of the directrix for the parabola with equation y=3x2y=3 x^{2}y=3x2 .

Match each equation on the left with the appropriate description of its graph on the right. - (x−3)2−4(y−1)2=16(x-3)^{2}-4(y-1)^{2}=16(x−3)2−4(y−1)2=16

Write an equation for each of the following. (a) The conic with center at the origin, focus at (10,0)(10,0)(10,0) and e=53e=\frac{5}{3}e=35​ . (b) The conic centered at the origin with vertical major axis of length 6 and e=13e=\frac{1}{3}e=31​ .

Match each equation on the left with the appropriate description of its graph on the right. - (y+1)2+x=2(y+1)^{2}+x=2(y+1)2+x=2

Write an equation for each of the following. (a) The conic with center at the origin, focus at (10,0)(10,0)(10,0) and e=56e=\frac{5}{6}e=65​ . (b) The conic centered at the origin with focus at (0,13)(0,13)(0,13) and e=135e=\frac{13}{5}e=513​ .

Graph y=21−x24y=2 \sqrt{1-\frac{x^{2}}{4}}y=21−4x2​​ . Is the graph that of a function? Find the domain and range.

Graph the relation. Identify the graph and give the the radius, center, vertices, and foci as applicable. - x2+y2+14x−6y+57=0x^{2}+y^{2}+14 x-6 y+57=0x2+y2+14x−6y+57=0

Graph the relation. Identify the graph and give the the radius, center, vertices, and foci as applicable. - (x−1)225+(y+1)264=1\frac{(x-1)^{2}}{25}+\frac{(y+1)^{2}}{64}=125(x−1)2​+64(y+1)2​=1

Graph the relation. Identify the graph and give the the radius, center, vertices, and foci as applicable - x=t+1,y=31−t225−2,tx=t+1, y=3 \sqrt{1-\frac{t^{2}}{25}}-2, tx=t+1,y=31−25t2​​−2,t in [−5,0][-5,0][−5,0]

Graph the relation. Identify the graph and give the the radius, center, vertices, and foci as applicable - x2+y2−16x−6y+69=0x^{2}+y^{2}-16 x-6 y+69=0x2+y2−16x−6y+69=0

Linear Functions, Equations, and Inequalities

Analysis of Graphs of Functions

Polynomial Functions

Rational, Power, and Root Functions

Inverse, Exponential, and Logarithmic Functions

Analytic Geometry and Nonlinear Systems

The Unit Circle and Functions of Trigonometry

Trigonometric Identities and Equations

Applications of Trigonometry and Vectors

Further Topics in Algebra

Limits, Derivatives, and Definite Integrals

Reference: Basic Algebraic Concepts

Filters

Graph the relation. Identify the graph and give the the radius, center, vertices, and foci as applicable. - $x^{2}+y^{2}-8 x+2 y+17=0$

Match each equation on the left with the appropriate description of its graph on the right. - $(x-2)^{2}+y=1$

Match each equation on the left with the appropriate description of its graph on the right. - $4(x-6)^{2}-25(y+2)^{2}=100$

Graph the relation. Identify the graph and give the the radius, center, vertices, and foci as applicable. - $y^{2}-4 x-2 y+13=0$

Match each equation on the left with the appropriate description of its graph on the right. - $(x+3)^{2}+(y-1)^{2}=16$

Match each equation on the left with the appropriate description of its graph on the right. - $(x+4)^{2}-y=3$

Give the coordinates of the focus and the equation of the directrix for the parabola with equation $x=5 y^{2}$ .

Match each equation on the left with the appropriate description of its graph on the right. - $(x+2)^{2}+(y-1)^{2}=9$

Give the coordinates of the focus and the equation of the directrix for the parabola with equation $x=-2 y^{2}$ .

Graph the relation. Identify the graph and give the the radius, center, vertices, and foci as applicable. - $x^{2}-4 y-10 x+1=0$

Give the coordinates of the focus and the equation of the directrix for the parabola with equation $y=3 x^{2}$ .

Match each equation on the left with the appropriate description of its graph on the right. - $(x-3)^{2}-4(y-1)^{2}=16$

Write an equation for each of the following. (a) The conic with center at the origin, focus at $(10,0)$ and $e=\frac{5}{3}$ . (b) The conic centered at the origin with vertical major axis of length 6 and $e=\frac{1}{3}$ .

Match each equation on the left with the appropriate description of its graph on the right. - $(y+1)^{2}+x=2$

Write an equation for each of the following. (a) The conic with center at the origin, focus at $(10,0)$ and $e=\frac{5}{6}$ . (b) The conic centered at the origin with focus at $(0,13)$ and $e=\frac{13}{5}$ .

Graph $y=2 \sqrt{1-\frac{x^{2}}{4}}$ . Is the graph that of a function? Find the domain and range.

Graph the relation. Identify the graph and give the the radius, center, vertices, and foci as applicable. - $x^{2}+y^{2}+14 x-6 y+57=0$

Graph the relation. Identify the graph and give the the radius, center, vertices, and foci as applicable. - $\frac{(x-1)^{2}}{25}+\frac{(y+1)^{2}}{64}=1$

Graph the relation. Identify the graph and give the the radius, center, vertices, and foci as applicable - $x=t+1, y=3 \sqrt{1-\frac{t^{2}}{25}}-2, t$ in $[-5,0]$

Graph the relation. Identify the graph and give the the radius, center, vertices, and foci as applicable - $x^{2}+y^{2}-16 x-6 y+69=0$