AnswersTX-Algebra II A-CRUnit Test

Conic Sections: Parabolas Answers

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1
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Which is the axis of symmetry of a parabola with equation ?

Question illustration
A
x = –4
B
x = –1
C
x = 0
D
x = 1
2
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A parabola opens to the left. Which could be the equation of the parabola?

A
(x – 4)2 = 4(y + 3)
B
(x – 4)2 = –4(y + 3)
C
(y – 4)2 = 4(x + 3)
D
(y – 4)2 = –4(x + 3)
3

Yung is designing a flashlight that uses a parabolic reflecting mirror and a light source. The shape of the mirror can be modeled by , where x and y are measured in inches. What is the focus point of the flashlight?

Question illustration
A
(–2, 0)
B
(0, –2)
C
(0, 2)
D
(2, 0)
4

Which is the standard form of the equation of the parabola shown in the graph?

Question illustration
A
mc009-2.jpg
Option A
B
mc009-3.jpg
Option B
C
mc009-4.jpg
Option C
D
mc009-5.jpg
Option D
5

Which is the standard form of the equation of the parabola that has a vertex of (–4, –6) and a directrix of y = 3?

A
mc011-1.jpg
Option A
B
mc011-2.jpg
Option B
C
mc011-3.jpg
Option C
D
mc011-4.jpg
Option D
6

Deanna is adjusting a satellite because she finds it is not focusing the incoming radio waves perfectly. The shape of her satellite can be modeled by , where x and y are modeled in inches. She realizes that the static is a result of the feed antenna shifting slightly off the focus point. What is the focus point of the satellite?

Question illustration
A
(–3, 0)
B
(0, –3)
C
(0, 3)
D
(0, 4)
7

Which is the focus of a parabola with equation ?

Question illustration
A
(–3, 0)
B
(0, –3)
C
(0, 3)
D
(3, 0)
8

Samara is adjusting a satellite because she finds it is not focusing the incoming radio waves perfectly. The shape of her satellite can be modeled by , where x and y are modeled in inches. She realizes that the static is a result of the feed antenna shifting slightly off the focus point. What is the focus point of the satellite?

Question illustration
A
(–5.5, 0)
B
(0, –5.5)
C
(0.5, 0)
D
(5.5, 0)
9

Franco is adjusting a satellite because he finds it is not focusing the incoming radio waves perfectly. The shape of his satellite can be modeled by , where x and y are modeled in inches. He realizes that the static is a result of the feed antenna shifting slightly off the focus point. What is the focus point of the satellite?

Question illustration
A
(2, –3)
B
(–1.25, –3)
C
(3, 2.75)
D
(3, 4.75)
10

Which is the directrix of a parabola with equation ?

Question illustration
A
mc002-2.jpg
Option A
B
mc002-3.jpg
Option B
C
mc002-4.jpg
Option C
D
mc002-5.jpg
Option D
11

Which is the axis of symmetry of a parabola with equation ?

Question illustration
A
y = –2
B
y = 0
C
x = 0
D
x = 2
12

Which is the standard form of the equation of the parabola that has a vertex of (–4, –6) and a directrix of y = 3?

A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
13

What are the vertex, focus, and directrix of the parabola with the equation ?

Question illustration
A
vertex (4, –3); focus (4, –4); directrix y = –2
B
vertex (–4, 3); focus (–4, –1); directrix y = 7
C
vertex (4, –3); focus (4, –7); directrix y = 1
D
vertex (–4, 3); focus (–4, 2); directrix y = 4
14

Which is the focus of a parabola with equation ?

Question illustration
A
(–1, 0)
B
(0, –1)
C
(0, 1)
D
(1, 0)
15

Which is the standard form of the equation of the parabola shown in the graph?

Question illustration
A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
16

Which is the focus of a parabola with equation ?

Question illustration
A
(–3, 0)
B
(0, –3)
C
(0, 3)
D
(3, 0)
17

Franco is adjusting a satellite because he finds it is not focusing the incoming radio waves perfectly. The shape of his satellite can be modeled by , where x and y are modeled in inches. He realizes that the static is a result of the feed antenna shifting slightly off the focus point. What is the focus point of the satellite?

Question illustration
A
(2, –3)
B
(–1.25, –3)
C
(3, 2.75)
D
(3, 4.75)
18

Samara is adjusting a satellite because she finds it is not focusing the incoming radio waves perfectly. The shape of her satellite can be modeled by , where x and y are modeled in inches. She realizes that the static is a result of the feed antenna shifting slightly off the focus point. What is the focus point of the satellite?

Question illustration
A
(–5.5, 0)
B
(0, –5.5)
C
(0.5, 0)
D
(5.5, 0)
19

Mustafa is adjusting a satellite because he finds it is not focusing the incoming radio waves perfectly. The shape of his satellite can be modeled by , where x and y are modeled in inches. He realizes that the static is a result of the feed antenna shifting slightly off the focus point. What is the focus point of the satellite?

Question illustration
A
(4.25, –2)
B
(4.25, 0)
C
(4.25, 2)
D
(4.25, 4)
20

The line x = 2 is the axis of symmetry for a parabola. The focus of the parabola is located 3 units from the vertex. Which could be the equation for the parabola?

A
(x – 2)2 = 12(y – k)
B
(x – h)2 = 12(y – 2)
C
(x – 2)2 = 3(y – k)
D
(x – h)2 = 3(y – 2)

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