Transformations of Quadratic Functions

Question 1

Which equation is y = –3x2 – 12x – 2 rewritten in vertex form?

Revolt · Accepted Answer

y = –3(x + 2)2 + 10

Question 2

Which pair of equations generates graphs with the same vertex?

Revolt · Accepted Answer

y = –4x2 and y = 4x2

Question 3

Which equation has a graph that is a parabola with a vertex at (5, 3)?

Revolt · Accepted Answer

y = (x – 5)2 + 3

Question 4

Christian is rewriting an expression of the form y = ax2 + bx + c in the form y = a(x – h)2 + k. Which of the following must be true?

Revolt · Accepted Answer

the value of a remains the same

Question 5

Which equation has a graph that is a parabola with a vertex at (–2, 0)?

Revolt · Accepted Answer

y = (x + 2)2

Question 6

Which phrase best describes the translation from the graph y = 6x2 to the graph of y = 6(x + 1)2?

Revolt · Accepted Answer

1 unit left

Question 7

Which phrase best describes the translation from the graph y = (x + 2)2 to the graph of y = x2 + 3?

Revolt · Accepted Answer

2 units right and 3 units up

Question 8

Which phrase best describes the translation from the graph y = 2(x – 15)2 + 3 to the graph of y = 2(x – 11)2 + 3?

Revolt · Accepted Answer

4 units to the left

Question 9

How does the graph of y = a(x – h)2 + k change if the value of h is doubled?

Revolt · Accepted Answer

The vertex of the graph moves to a point twice as far from the y-axis.

Question 10

What is the first step when rewriting y = 6x2 + 18x + 14 in the form y = a(x – h)2 + k?

Revolt · Accepted Answer

6 must be factored from 6x2 + 18x

Transformations of Quadratic Functions Answers