AnswersAZ-Common Core Algebra II AComplex Numbers

Transformations of Quadratic Functions Answers

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

A
y = –3(x + 2)2 + 10
B
y = –3(x – 2)2 + 10
C
y = –3(x + 2)2 – 14
D
y = –3(x – 2)2 – 2
2
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Which equation is y = (x + 3)2 + (x + 4)2 rewritten in vertex form?

A
y = 2 (x + seven-halves) squared minus one-fourth
Option A
B
y = 2 (x + seven-halves) squared minus one-half
Option B
C
y = 2(x + 7)2 – 73
D
y = (x + 7)2 – 24
3

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

A
y = –2x2
B
y = (x + 2)2
C
y = (x – 2)2
D
y = x2 – 2
4

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

A
16 must be factored from 18x + 14
B
x must be factored from 6x2 + 18x
C
6 must be factored from 6x2 + 14
D
6 must be factored from 6x2 + 18x
5

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

A
y = (x – 5)2 + 3
B
y = (x + 5)2 + 3
C
y = (x – 3)2 + 5
D
y = (x + 3)2 + 5
6

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

A
6 unit left
B
6 unit right
C
1 unit left
D
1 unit right
7

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

A
y = 2(x – 2)2 + 9
B
y = 2(x – 2)2 + 5
C
y = 2(x – 2)2 + 1
D
y = 2(x – 2)2 + 17
8

Which equation is y = 6x2 + 12x – 10 rewritten in vertex form?

A
y = 6(x + 1)2 – 11
B
y = 6(x + 1)2 – 10
C
y = 6(x + 1)2 – 4
D
y = 6(x + 1)2 – 16
9

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

A
The vertex of the graph moves to a point twice as far from the x-axis.
B
The vertex of the graph moves to a point twice as far from the y-axis.
C
The vertex of the graph moves to a point half as far from the x-axis.
D
The vertex of the graph moves to a point half as far from the y-axis.
10

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

A
2 units left and 3 units up
B
2 units left and 3 units down
C
2 units right and 3 units up
D
2 units right and 3 units down

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