AnswersKY-Algebra II CRUnit Test

Transformations of Quadratic Functions Answers

0 verified answers1 views
1
Free Preview

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
2
Free Preview

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
3

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
4

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
5

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
6

Which pair of equations generates graphs with the same vertex?

A
y = –(x + 4)2 and y = (x – 4)2
B
y = –4x2 and y = 4x2
C
y = –x2 – 4 and y = x2 + 4
D
y = (x – 4)2 and y = x2 + 4
7

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.
8

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

A
2 must be factored from 2x – 7
B
–4 must be factored from –4x2 + 2x
C
x must be factored from –4x2 + 2x
D
–4 must be factored from –4x2 – 7
9

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

A
3 must be factored from 3x2 + 9x
B
x must be factored from 3x2 + 9x
C
9 must be factored from 9x – 18
D
3 must be factored from 3x2 – 18
10

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

A
y = (x – 1)2 + 1
B
y = (x – 1)2 – 1
C
y = (x + 1)2 + 1
D
y = (x + 1)2 – 1

Did you find these answers helpful?

More from this Course

Assignment
1 verified answers

Warm-Up