Conic Sections: Parabolas

Question 1

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

Revolt · Accepted Answer

mc009-2.jpg

Question 2

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?

Revolt · Accepted Answer

(–1.25, –3)

Question 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?

Revolt · Accepted Answer

(0, 2)

Question 4

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

Revolt · Accepted Answer

x = 0

Question 5

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

Revolt · Accepted Answer

y = 0

Question 6

Which is the focus of a parabola with equation ?

Revolt · Accepted Answer

(–3, 0)

Question 7

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

Revolt · Accepted Answer

vertex (–4, 3); focus (–4, 2); directrix y = 4

Question 8

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

Revolt · Accepted Answer

mc011-1.jpg

Question 9

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?

Revolt · Accepted Answer

(–5.5, 0)

Question 10

Which is the focus of a parabola with equation ?

Revolt · Accepted Answer

(1, 0)

Conic Sections: Parabolas Answers

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