Deck 10: Conic Sections

Question 1

Graph the parabola. State the vertex of the parabola.

- $y=-x^{2}-2 x+2$

A) vertex $(-1,1)$

B) vertex $(-1,3)$

C) vertex $(1,1)$

D) vertex $(1,-3)$

Answer 1

vertex $(1,1)$

Question 2

Graph the parabola. State the vertex of the parabola.

- $y=-x^{2}-2 x-8$

A) vertex $(-1,7)$

B) vertex $(-1,-7)$

C) vertex $(1,7)$

D) vertex $(-1,-9)$

Answer 2

vertex $(-1,-7)$

Question 3

Graph the parabola. State the vertex of the parabola.

- $y=(x+4)^{2}+3$

A) vertex $(-3,4)$

B) vertex $(3,-4)$

C) vertex $(-4,3)$

D) vertex $(4,3)$

Answer 3

vertex $(-4,3)$

Question 4

Graph the parabola. State the vertex of the parabola.

- $y =-(x+6)^2-1$

A) vertex $(1,6)$

B) vertex $(-6,-1)$

C) vertex $(-1,-6)$

D) vertex $(6,-1)$

Question 5

Graph the parabola. State the vertex of the parabola.

- $y=x^{2}+3$

A) vertex $(0,-3)$

B) vertex $(0,3)$
C) vertex $(-3,0)$
D) vertex $(3,0)$

Question 6

Graph the parabola. State the vertex of the parabola.

- $x=y^{2}+4 y+2$

A) vertex $(-2,2)$

B) vertex $(-2,-2)$

C) vertex $(2,6)$

D) vertex $(-2,-2)$

Question 7

Graph the parabola. State the vertex of the parabola.

- $x=-y^{2}+2 y+2$

A) vertex $(1,-1)$

B) vertex $(-1,-1)$

C) vertex $(3,1)$


D) vertex $(-1,1)$

Question 8

Graph the parabola. State the vertex of the parabola.

- $x=(y-6)^{2}-5$

A) vertex $(-5,-6)$

B) vertex $(-6,5)$

C) vertex $(-5,6)$

D) vertex $(6,-5)$

Question 9

Graph the parabola. State the vertex of the parabola.

- $x=-(y+3)^{2}+6$

A) vertex $(-3,6)$

B) vertex $(3,-6)$

C) vertex $(6,-3)$

D) vertex $(6,3)$

Question 10

Find the vertex of the parabola by completing the square.

- $y=x^{2}-3 x-9$

A) $(1.5,-11.25)$
B) $(-1.5,-9.25)$
C) $(-1.5,-11.25)$
D) $(1.5,6.75)$

Question 11

Find the vertex of the parabola by completing the square.

- $y=-x^{2}-2 x-4$

A) $(-1,-3)$
B) $(1,3)$
C) $(-1,3)$
D) $(-1,-5)$

Question 12

Find the vertex of the parabola by completing the square.

- $x=y^{2}+2 y+6$

A) $(5,-1)$
B) $(1,7)$
C) $(-1,5)$
D) $(5,1)$

Question 13

Find the vertex of the parabola by completing the square.

- $x=-y^{2}+2 y-4$

A) $(-5,-1)$
B) $(-3,1)$
C) $(5,1)$
D) $(5,-1)$

Question 14

Find the equation of the parabola of the form $y=a x^{2}+b x+c$ that passes through the given three points.

- $(-2,5),(1,11),(4,35)$

A) $y=x^{2}+3 x+7$
B) $y=x^{2}+2 x+3$
C) $y=x^{2}+2 x+9$
D) $y=x^{2}+4 x+7$

Question 15

Find the equation of the parabola of the form $y=a x^{2}+b x+c$ that passes through the given three points.

- $(-7,-35),(-6,-33),(-5,-35)$

A) $y=-3 x^{2}-30 x+97$
B) $y=-2 x^{2}-24 x-105$
C) $y=-2 x^{2}-24 x+105$
D) $y=-3 x^{2}-30 x-97$

Question 16

Find the equation of the parabola of the form $x=a y^{2}+b y+c$ that passes through the given three points.

- $(49,-1),(37,3),(93,10)$

A) $x=y^{2}-5 y+43$
B) $x=y^{2}-9 y+20$
C) $x=3 y^{2}-y+74$
D) $x=2 y^{2}-y+64$

Question 17

Graph the parabola, including its vertex, focus, and directrix.

- $(\mathrm{x}-2)^{2}=4(\mathrm{y}+5)$

A) vertex: $(2,-5)$ ; focus $(2,-3)$ ; directrix $y=-7$

B) vertex: (2, - 5); focus (2, - 4); directrix $y=-6$


C) vertex: $(2,-5)$ ; focus $(2,-7)$ ; directrix $y=-3$

D) vertex: $(2,-5)$ ; focus $(2,-6)$ ; directrix $y=-4$

Question 18

Graph the parabola, including its vertex, focus, and directrix.

- $(x+3)^{2}=-16(y-1)$

A) vertex: $(-3,1)$ ; focus $(-3,-3)$ ; directrix $y=5$

B) vertex: $(-3,1)$ ; focus $(-3,-3)$ ; directrix $y=5$

C) vertex: $(-3,1)$ ; focus $(-3,-1)$ ; directrix $y=3$

D) vertex: $(-3,1)$ ; focus $(-3,-1)$ ; directrix $y=3$

Question 19

Graph the parabola, including its vertex, focus, and directrix.

- $y^{2}=8 x$

A) vertex: $(0,0)$ ; focus $(2,0)$ ; directrix $x=-2$

B) vertex: $(0,0)$ ; focus $(1,0)$ ; directrix $x=-1$

C) vertex: $(0,0)$ ; focus $(1,0)$ ; directrix $x=-1$

D) vertex: $(0,0)$ ; focus $(2,0)$ ; directrix $x=-2$

Question 20

Solve the problem.

-

A) $(x+5)^{2}=8(y-3)$
B) $(x-5)^{2}=4(y+3)$
C) $(x+5)^{2}=4(y-3)$
D) $(x-5)^{2}=8(y+3)$

Question 21

Solve the problem.

-

A) $(y+7)^{2}=4(x+2)$
B) $(x+2)^{2}=-4(y+7)$
C) $(x+7)^{2}=4(y+2)$
D) $(y+2)^{2}=-4(x+7)$

Question 22

Solve the problem.

-Arches in the shapes of parabolas are often used in construction. Find the equation of a parabolic arc that is 20 feet high at its highest point and 28 feet wide at the base, as illustrated in the figure. Place the origin at the midpoint of the base.

A) $y=-x^{2}+28$
B) $y=\frac{5}{49} x^{2}+20$
C) $y=-x^{2}+20$
D) $y=-\frac{5}{49} x^{2}+20$

Question 23

Solve the problem.

-A bridge is built in the shape of a parabolic arch. The bridge arch has a span of 134 feet and a maximum height of 30 feet. Find the height of the arch at 10 feet from its center.

A) $7.4 \mathrm{ft}$
B) $2.7 \mathrm{ft}$
C) $0.2 \mathrm{ft}$
D) $29.3 \mathrm{ft}$

Question 24

Solve the problem.

-An experimental model for a suspension bridge is built. In one section, cable runs from the top of one tower down to the roadway, just touching it there, and up again to the top of a second tower. The towers are both 6.25 inches tall and stand 50 inches apart. At some point along the road from the lowest point of the cable, the cable is 0.56 inches above the roadway. Find the distance between that point and the base of the nearest tower.

A) $7.3 \mathrm{in}$ .
B) $7.7 \mathrm{in.}$
C) $17.5 \mathrm{in}$ .
D) $17.7 \mathrm{in.}$

Question 25

Find the distance between the pair of points. Round to the nearest tenth if necessary.

- $(-3,1)$ and $(3,-7)$

A) 14
B) 100
C) 10
D) $\sqrt{14} \approx 3.742$

Question 26

Find the distance between the pair of points. Round to the nearest tenth if necessary.

- $(-7,-5)$ and $(7,1)$

A) 8
B) $160 \sqrt{10} \approx 506$
C) 160
D) $2 \sqrt{58} \approx 15.2$

Question 27

Find the distance between the pair of points. Round to the nearest tenth if necessary.

- $(47,2)$ and $(26,44)$

A) 7445
B) $\sqrt{7445} \approx 86.3$
C) $21 \sqrt{5} \approx 47$
D) 3213

Question 28

Find the distance between the pair of points. Round to the nearest tenth if necessary.

- $(6,1)$ and $(-7,-3)$

A) 52
B) $3 \sqrt{17} \approx 12.4$
C) 9
D) $\sqrt{185} \approx 13.6$

Question 29

Find the distance between the pair of points. Round to the nearest tenth if necessary.

- $(-7,-7)$ and $(7,3)$

A) 4
B) $2 \sqrt{74} \approx 17.2$
C) $96 \sqrt{6} \approx 235.2$
D) 96

Question 30

Find the distance between the pair of points. Round to the nearest tenth if necessary.

- $(2,-1)$ and $(4,-5)$

A) 12
B) 6
C) $2 \sqrt{5} \approx 4.5$
D) $12 \sqrt{3} \approx 20.8$

Question 31

Find the midpoint of the line segment that connects the given points.

- $(7,7)$ and $(4,1)$

A) $(3,6)$
B) $\left(\frac{3}{2}, 3\right)$
C) $\left(\frac{11}{2}, 4\right)$
D) 11,8 )

Question 32

Find the midpoint of the line segment that connects the given points.

- $(0,-6)$ and $(-8,2)$

A) $(8,-8)$
B) $(-8,-4)$
C) $(4,-4)$
D) $(-4,-2$ ,

Question 33

Find the midpoint of the line segment that connects the given points.

- $(-6,-1)$ and $(7,8)$

A) $\left(\frac{1}{2}, \frac{7}{2}\right)$
B) $(-13,-9)$
C) $(1,7)$
D) $\left(-\frac{13}{2},-\frac{9}{2}\right)$

Question 34

Find the midpoint of the line segment that connects the given points.

- $(2,9)$ and $(5,-7)$

A) $(7,2)$
B) $\left(\frac{7}{2}, 1\right)$
C) $\left(-\frac{3}{2}, 8\right)$
D) $(-3,16)$

Question 35

Graph the circle. State the center and radius of the circle

- $x^{2}+y^{2}=100$

A) center $(0,0) ; r=10$

B) center $(0,0) ; \mathrm{r}=10$

C) center $(0,0) ; r=10$

D) center $(0,0) ; r=10$

Question 36

Graph the circle. State the center and radius of the circle

- $(x-4)^{2}+(y-2)^{2}=36$

A) center $(-4,2) ; r=6$

B) center (4, - 2); $r=6$

C) center $(-4,-2) ; r=6$

D) center (4, 2); $r=6$

Question 37

Graph the circle. State the center and radius of the circle

- $(x+1)^{2}+(y+4)^{2}=4$

A) center $(-1,4) ; r=2$

B) center (1, - 4); $r=2$

C) center $(1,4) ; r=2$

D) center $(-1,-4) ; \mathrm{r}=2$

Question 38

Graph the circle. State the center and radius of the circle

- $(x-5)^{2}+(y+6)^{2}=9$

A) center $(-5,-6) ; r=3$

B) center (5, - 6); $r=3$

C) center $(-5,6) ; r=3$

D) center $(5,6) ; r=3$

Question 39

Graph the circle. State the center and radius of the circle

- $(x+3)^{2}+(y-6)^{2}=4$

A) center $(-3,6) ; r=2$

B) center $(3,-6) ; r=2$

C) center $(3,6) ; r=2$

D) center $(-3,-6) ; r=2$

Question 40

Graph the circle. State the center and radius of the circle

- $x^{2}+(y-2)^{2}=16$

A) center $(0,-2) ; r=4$

B) center $(2,0) ; r=4$

C) center $(-2,0) ; r=4$

D) center $(0,2) ; r=4$

Question 41

Graph the circle. State the center and radius of the circle

- $(x-3)^{2}+y^{2}=1$

A) center $(-3,0) ; r=1$

B) center (0, 3); $r=1$

C) center $(0,-3) ; r=1$

D) center (3, 0); $r=1$

Question 42

Graph the circle. State the center and radius of the circle

- $(x-1)^{2}+(y-1)^{2}=7$

A) center $(1,1) ; r=7$

B) center $(1,1) ; r=\sqrt{7}$

C) center $(1,1) ; r=\sqrt{7}$

D) center $(1,1) ; r=7$

Question 43

Graph the circle. State the center and radius of the circle

- $x^{2}+y^{2}-4 x-2 y-4=0$

A) center $(2,1) ; r=3$

B) center $(-2,-1) ; r=3$

C) center $(-2,-1) ; r=3$

D) center $(-2,-1)$ ; $r=3$

Question 44

Find the center and radius of the circle by completing the square.

- $x^{2}+y^{2}-6 x+16 y+9=0$

A) $(8,-3) ; r=64$
B) $(3,-8) ; r=8$
C) $(-3,8) ; r=64$
D) $(-8,3) ; r=8$

Question 45

Find the center and radius of the circle by completing the square.

- $x^{2}+y^{2}-2 x-10 y+10=0$

A) $(-5,-1) ; r=16$
B) $(5,1) ; r=4$
C) $(-1,-5) ; r=16$
D) $(1,5) ; r=4$

Question 46

Find the center and radius of the circle by completing the square.

- $x^{2}+y^{2}-16 x-6 y-8=0$

A) $(-8,-3) ; r=81$
B) $(-3,-8) ; r=81$
C) $(8,3) ; r=9$
D) $(3,8) ; r=9$

Question 47

Find the center and radius of the circle by completing the square.

- $x^{2}+y^{2}-18 x-8 y+72=0$

A) $(-4,-9) ; r=25$
B) $(9,4) ; r=5$
C) $(-9,-4) ; r=25$
D) $(4,9) ; r=5$

Question 48

Find the center and radius of the circle by completing the square.

- $x^{2}+y^{2}-10 x+12 y+49=0$

A) $(5,-6), r=2 \sqrt{3}$
B) $(-5,6), r=2 \sqrt{3}$
C) $(5,-6), r=12$
D) $(-5,6), r=12$

Question 49

Find the center and radius of the circle by completing the square.

- $x^{2}-4 x+y^{2}-6 y+1=0$

A) $(-2,-3) ; r=12$
B) $(-2,-3) ; r=2 \sqrt{3}$
C) $(2,3) ; r=12$
D) $(2,3) ; r=2 \sqrt{3}$

Question 50

Find an equation of the circle with the given center and radius.

-Center $(0,0)$ , radius 6

A) $(x-1)^{2}+(y-1)^{2}=6$
B) $x^{2}+y^{2}=\sqrt{6}$
C) $x^{2}+y^{2}=6$
D) $x^{2}+y^{2}=36$

Question 51

Find an equation of the circle with the given center and radius.

-Center (8, - 4), radius 10

A) $(x+4)^{2}+(y-8)^{2}=10$
B) $(x-8)^{2}+(y+4)^{2}=100$
C) $(x+8)^{2}+(y-4)^{2}=100$
D) $(x-4)^{2}+(y+8)^{2}=10$

Question 52

Find an equation of the circle with the given center and radius.

-Center $(-9,0)$ , radius 3

A) $(x+9)^{2}+y^{2}=9$
B) $x^{2}+(y-9)^{2}=3$
C) $(x-9)^{2}+y^{2}=9$
D) $x^{2}+(y+9)^{2}=3$

Question 53

Find an equation of the circle with the given center and radius.

-Center (0, - 6), radius 2

A) $x^{2}+(y-6)^{2}=2$
B) $(x+6)^{2}+y^{2}=4$
C) $x^{2}+(y+6)^{2}=4$
D) $(x-6)^{2}+y^{2}=4$

Question 54

Find an equation of the circle with the given center and radius.

-Center $(0,10)$ , radius $\sqrt{5}$

A) $(x+10)^{2}+y^{2}=25$
B) $(x-10)^{2}+y^{2}=25$
C) $x^{2}+(y+10)^{2}=5$
D) $x^{2}+(y-10)^{2}=5$

Question 55

Find an equation of the circle with the given center and radius.

-Center $(9,-7)$ , radius $\sqrt{7}$

A) $(x+7)^{2}+(y-9)^{2}=49$
B) $(x+9)^{2}+(y-7)^{2}=7$
C) $(x-7)^{2}+(y+9)^{2}=49$
D) $(x-9)^{2}+(y+7)^{2}=7$

Question 56

Find an equation of the circle with the given center and radius.

-Center $(-9,0)$ , radius $\sqrt{3}$

A) $(x+9)^{2}+y^{2}=3$
B) $(x-9)^{2}+y^{2}=3$
C) $x^{2}+(y-9)^{2}=9$
D) $x^{2}+(y+9)^{2}=9$

Question 57

Find the equation of the circle.

-

A) $x^{2}+y^{2}=5$
B) $x^{2}+y^{2}=9$
C) $x^{2}+y^{2}=10$
D) $x^{2}+y^{2}=25$

Question 58

Find the equation of the circle.

-

A) $(x-9)^{2}+(y-7)^{2}=25$
B) $(x+9)^{2}+(y-7)^{2}=25$
C) $(x+9)^{2}+(y+7)^{2}=25$
D) $(x-9)^{2}+(y+7)^{2}=25$

Question 59

Find the equation of the circle.

-

A) $(x-4)^{2}+(y-2)^{2}=16$
B) $(x-4)^{2}+(y-2)^{2}=2$
C) $(x-4)^{2}-(y-2)^{2}=16$
D) $(x-4)^{2}+(y-2)^{2}=4$

Question 60

Find the equation of the circle.

- $(x+4)^{2}+(y-2)^{2}=36$

A)

B)
C)

D)

Question 61

Find the equation of the circle.

- $(x-3)^{2}+(y+5)^{2}=4$

A)

B)

C)

D)

Question 62

Find the equation of the circle that has a diameter with the given endpoints.

- $(-6,6)$ and $(0,-2)$

A) $(x-3)^{2}+(y+2)^{2}=25$
B) $(x+3)^{2}+(y-2)^{2}=25$
C) $(x+3)^{2}+(y-2)^{2}=5$
D) $(x-3)^{2}+(y+2)^{2}=100$

Question 63

Solve the problem.

-A wildlife researcher is monitoring a black bear that has a radio telemetry collar with a transmitting range of 16 miles. The researcher is in a research station with her receiver and tracking the bear's movements. If we put the origin of a coordinate system at the research station, what is the equation of all possible locations of the bear where the transmitter would be at its maximum range?

A) $x^{2}+y^{2}=16$
B) $x^{2}-y^{2}=16$
C) $x^{2}+y^{2}=32$
D) $x^{2}+y^{2}=256$

Question 64

Solve the problem.

-A Ferris wheel has a diameter of 280 feet and the bottom of the Ferris wheel is 12 feet above the ground. Find the equation of the wheel if the origin is placed on the ground directly below the center of the wheel, as illustrated.

A) $x^{2}+(y-140)^{2}=19,600$
B) $\mathrm{x}^{2}+\mathrm{y}^{2}=19,600$
C) $x^{2}+(y-140)^{2}=78,400$
D) $x^{2}+(y-152)^{2}=19,600$

Question 65

Solve the problem.

-A Ferris wheel has a diameter of 260 feet and the bottom of the Ferris wheel is 11 feet above the ground. How far to the left or right is a car that is 191 feet above the ground? Round to the nearest tenth if necessary.

A) 120
B) 114.8
C) 252.7
D) 255.1

Question 66

Most video games need to determine whether two objects touch, such as a character and a wall or a missile and an asteroid; this is known as collision detection. One method for doing this is to find a circle that bounds each object. If the distance between the centers of the two objects is less than or equal to the sum of the two radii of the circles that the objects are bounded by, the two objects are touching. Determine whether Object 1 with radius 9 pixels and center at $(5,30)$ touches Object 2 with radius 10 pixels and œenter at $(15,45)$ .

Question 67

Most video games need to determine whether two objects touch, such as a character and a wall or a missile and an asteroid; this is known as collision detection. One method for doing this is to find a circle that bounds each object. If the distance between the centers of the two objects is less than or equal to the sum of the two radii of the circles that the objects are bounded by, the two objects are touching. Determine whether Object 1 with radius 112 pixels and center at $(432,195)$ touches Object 2 with radius 154 pixels and center at $(673,310)$ .

Question 68

Graph the ellipse. Give the coordinates of the center, as well as the values of $a$ and $b$ .

- $\frac{x^{2}}{25}+\frac{y^{2}}{4}=1$

A) center $(0,0), a=2, b=5$

B) center $(5,2), a=1, b=1$

C) center $(0,0), a=5, b=2$

D) center $(2,5), a=1, b=1$

Question 69

Graph the ellipse. Give the coordinates of the center, as well as the values of $a$ and $b$ .

- $\frac{x^{2}}{49}+\frac{y^{2}}{24}=1$

A) center $(0,0), a=2 \sqrt{6}, b=7$

B) center $(0,0), a=7, b=2 \sqrt{6}$

C) center $(0,0), a=7, b=2 \sqrt{6}$

D) center $(0,0), a=2 \sqrt{6}, b=7$

Question 70

Graph the ellipse. Give the coordinates of the center, as well as the values of $a$ and $b$ .

- $25 x^{2}+36 y^{2}=900$

A) center $(0,0), a=5, b=6$

B) center $(0,0), a=6, b=5$

C) center $(0,0), a=5, b=6$

D) center $(0,0), a=6, b=5$

Question 71

Graph the ellipse. Give the coordinates of the center, as well as the values of $a$ and $b$ .

- $3 x^{2}+7 y^{2}-63=0$

A) center $(0,0), a=\sqrt{7}, b=\sqrt{3}$

B) center $(0,0), \mathrm{a}=3, \mathrm{~b}=\sqrt{21}$

C) center $(0,0), a=\sqrt{21}, b=3$

D) center $(0,0), \mathrm{a}=\sqrt{3}, \mathrm{~b}=\sqrt{7}$

Question 72

Graph the ellipse. Give the coordinates of the center, as well as the values of $a$ and $b$ .

- $\frac{(x+6)^{2}}{16}+\frac{(y+5)^{2}}{4}=1$

A) center $(-6,-5), a=4, b=2$

B) center $(-6,5), a=4, b=2$
C) center (6,5), $\mathrm{a}=4, \mathrm{~b}=2$

D) center $(6,-5), a=4, b=2$

Question 73

Graph the ellipse. Give the coordinates of the center, as well as the values of $a$ and $b$ .

- $(\mathrm{x}-1)^{2}+\frac{(\mathrm{y}-2)^{2}}{16}=1$

A) center $(1,2), a=4, b=1$

B) center $(2,1), a=4, b=1$

C) center (1, 2), $\mathrm{a}=1, \mathrm{~b}=4$

D) center (1, 2), a = 1, b = 4

Question 74

Graph the ellipse. Give the coordinates of the center, as well as the values of $a$ and $b$ .

- $\frac{(x+2)^{2}}{9}+(y+1)^{2}=1$

A) center $(-2,-1), a=3, b=1$

B) center $(-2,-1), a=1, b=3$

C) center $(-2,-1), a=1, b=3$

D) center $(-2,-1), a=3, b=1$

Question 75

Graph the ellipse. Give the coordinates of the center, as well as the values of $a$ and $b$ .

- $64 x^{2}+y^{2}-384 x+512=0$

A) center $(3,0), a=1, b=8$

B) center $(3,0), a=1, b=8$

C) center $(0,3), a=8, b=1$

D) center $(-3,0), a=8, b=1$

Question 76

Graph the ellipse. Give the coordinates of the center, as well as the values of $a$ and $b$ .

- $4 x^{2}+5 y^{2}-24 x+50 y+141=0$

A) center $(3,-5), \mathrm{a}=2, \mathrm{~b}=\sqrt{5}$

B) center $(-3,5), a=2, b=\sqrt{5}$

C) center $(-3,5), a=\sqrt{5}, b=2$

D) center $(3,-5), a=\sqrt{5}, b=2$

Question 77

Find the standard-form equation of the ellipse.

-

A) $9 x^{2}+4 y^{2}=1$

B) $\frac{x^{2}}{9}+\frac{y^{2}}{4}=1$

C) $\frac{x^{2}}{81}+\frac{y^{2}}{16}=1$

D) $81 x^{2}+16 y^{2}=1$

Question 78

Find the standard-form equation of the ellipse.

-

A) $\frac{x^{2}}{16}+\frac{y^{2}}{49}=1$
B) $4 x^{2}+7 y^{2}=1$
C) $\frac{x^{2}}{4}+\frac{y^{2}}{7}=1$
D) $16 x^{2}+49 y^{2}=1$

Question 79

Find the standard-form equation of the ellipse.

-

A) $\frac{x^{2}}{16}+\frac{(y-1)^{2}}{4}=1$
B) $\frac{x^{2}}{4}+\frac{(y-1)^{2}}{16}=1$
C) $\frac{(x+1)^{2}}{16}+\frac{y^{2}}{4}=1$
D) $\frac{(\mathrm{x}+1)^{2}}{4}+\frac{\mathrm{y}^{2}}{16}=1$

Question 80

Find the standard-form equation of the ellipse.

-

A) $\frac{(\mathrm{x}-1)^{2}}{4}+\frac{\mathrm{y}^{2}}{25}=1$
B) $\frac{(\mathrm{x}-1)^{2}}{25}+\frac{y^{2}}{4}=1$
C) $\frac{x^{2}}{25}+\frac{(y-1)^{2}}{4}=1$
D) $\frac{x^{2}}{4}+\frac{(y-1)^{2}}{25}=1$