Transformations of Quadratic Functions

Question 1

Which equation is y = 2x2 – 8x + 9 rewritten in vertex form?

Revolt · Accepted Answer

y = 2(x – 2)2 + 1

Question 2

What is the first step when rewriting y = 3x2 + 9x – 18 in the form y = a(x – h)2 + k?

Revolt · Accepted Answer

3 must be factored from 3x2 + 9x

Question 3

What is the first step when rewriting y = –4x2 + 2x – 7 in the form y = a(x – h)2 + k?

Revolt · Accepted Answer

–4 must be factored from –4x2 + 2x

Question 4

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 5

Which equation is y = (x + 3)2 + (x + 4)2 rewritten in vertex form?

Revolt · Accepted Answer

y = 2 (x + seven-halves) squared minus one-half

Question 6

Which equation has a graph that is a parabola with a vertex at (–1, –1)?

Revolt · Accepted Answer

y = (x + 1)2 – 1

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 pair of equations generates graphs with the same vertex?

Revolt · Accepted Answer

y = –4x2 and y = 4x2

Question 9

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

Question 10

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

Transformations of Quadratic Functions Answers