Unit Test — Unit test Answers

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Consider the function . What transformation results in ?

Question illustration
A
translating 5 units down
B
translating 10 units down
C
reflecting across the x-axis
D
reflecting across the y-axis
22
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If the function y = sinx is transformed to , how do the amplitude and period change?

Question illustration
A
The amplitude increases, and the period decreases.
B
The amplitude increases, and the period increases.
C
The amplitude decreases, and the period decreases.
D
The amplitude decreases, and the period increases.
23

Review the table.

Question illustration
A
Negative one-half, negative StartFraction StartRoot 2 EndRoot Over 2 EndFraction, negative StartFraction StartRoot 3 EndRoot Over 2 EndFraction
Option A
B
Negative StartFraction StartRoot 3 EndRoot Over 2 EndFraction, negative StartFraction StartRoot 2 EndRoot Over 2 EndFraction, negative one-half
Option B
C
One-half, StartFraction StartRoot 2 EndRoot Over 2 EndFraction, StartFraction StartRoot 3 EndRoot Over 2 EndFraction
Option C
D
StartFraction StartRoot 3 EndRoot Over 2 EndFraction, StartFraction StartRoot 2 EndRoot Over 2 EndFraction, one-half
Option D
24

On the interval 0 ≤ x ≤ 2π, what are the x-intercepts of y = sinx?

A
0, StartFraction pi Over 2 EndFraction, and StartFraction 3 pi Over 2 EndFraction
Option A
B
0, π, and 2π
C
StartFraction pi Over 2 EndFraction and StartFraction 3 pi Over 2 EndFraction
Option C
D
π and 2π only
25

Consider the function y = asin(bx), where a > 0 and b > 0. Which change compresses the graph vertically?

A
Increase a.
B
Decrease a.
C
Increase b.
D
Decrease b.

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