Transformations of Quadratic Functions

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 its vertex at the origin and directrix at y = 1.

Revolt · Accepted Answer

x2 = –4y

Question 3

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

Revolt · Accepted Answer

y2 = 12x

Question 4

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 5

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 6

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 7

Which equation is used to find the directrix?

Revolt · Accepted Answer

x = h – p

Question 8

The directrix is x = .

Revolt · Accepted Answer

-1.5

Transformations of Quadratic Functions Answers