Conic Sections: Parabolas

Question 1

Use the information given in the graph to write the standard form of the parabola.

Revolt · Accepted Answer

y2 = –16x

Question 2

Write the equation of a parabola with the focus at (3, 0) and the directrix at x = –3.

Revolt · Accepted Answer

y2 = 12x

Question 3

Write the equation of a parabola with its vertex at the origin and directrix at y = 1.

Revolt · Accepted Answer

x2 = –4y

Question 4

Which of following is the graph of (x – 2)2 = –4(y + 3)?

Revolt · Accepted Answer

Answer image: //media.edgenuity.com/EVresources/3111-03-51-20-03-task/mc001-2.jpg

Question 5

Which of the following statements are true about the graph of (y + 5)2 = 10(x – 2)? Check all of the boxes that apply.

Revolt · Accepted Answer

The graph opens to the right.; p = 2.5.; The axis of symmetry is at y = –5.

Question 6

Write the equation for a parabola with the vertex at (–1, 3) and the equation of the directrix y = 1.

Revolt · Accepted Answer

(x + 1)2 = 8(y – 3)

Question 7

Which equation is used to find the directrix?

Revolt · Accepted Answer

x = h – p

Question 8

Your new flashlight uses a parabolic mirror which can be modeled by the equation (x – 2)² = 5(y + 1), where x and y are measured in centimeters. You need to place a new light bulb in your flashlight. How far away from the vertex of the parabolic mirror should you place the bulb to ensure a perfect beam of light?The bulb should be placed ✔ 1.25 cm above the vertex5 cm above the vertex1.25 cm to the right of the vertex5 cm to the right of the vertex.

Revolt · Accepted Answer

✔ 1.25 cm above the vertex

Question 9

Write the equation for a parabola with the focus at (–1, 4) and the equation of the directrix x = 5.

Revolt · Accepted Answer

(y – 4)2 = –12(x – 2)

Question 10

The directrix is x = .

Revolt · Accepted Answer

-1.5

Conic Sections: Parabolas Answers

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