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

y = (x – 5)2 + 3

y = (x + 5)2 + 3

y = (x – 3)2 + 5

y = (x + 3)2 + 5

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

3 must be factored from 3x2 + 9x

x must be factored from 3x2 + 9x

9 must be factored from 9x – 18

3 must be factored from 3x2 – 18

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

y = –2x2

y = (x + 2)2

y = (x – 2)2

y = x2 – 2

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

6 unit left

6 unit right

1 unit left

1 unit right

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

2 must be factored from 2x – 7

–4 must be factored from –4x2 + 2x

x must be factored from –4x2 + 2x

–4 must be factored from –4x2 – 7

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

2 units left and 3 units up

2 units left and 3 units down

2 units right and 3 units up

2 units right and 3 units down

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

y = (x – 1)2 + 1

y = (x – 1)2 – 1

y = (x + 1)2 + 1

y = (x + 1)2 – 1

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

y = –3(x + 2)2 + 10

y = –3(x – 2)2 + 10

y = –3(x + 2)2 – 14

y = –3(x – 2)2 – 2

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?

h and k cannot both equal zero

k and c have the same value

the value of a remains the same

h is equal to one half –b

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?

4 units to the left

4 units to the right

8 units to the left

8 units to the right

Transformations of Quadratic Functions Answers

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