Free Printable 3.4-3.8 Concept Review

1.

Which value represents a vertical shift in the following function y=a*sin(bx - c)+d?

a)

a

b)

b

c)

c

d)

d

2.

Which value helps identify a horizontal shift in the following function y=a*sin(bx-c)+d?

a)

a

b)

b

c)

c

d)

d

3.

The period of a sine or cosine graph can be found by ....

a)

It's always 2π

b)

2π/B

c)

B(2π)

d)

2π+B

4.

Which value helps identify the period in the following function y=a*sin(bx-c)+d?

a)

a

b)

b

c)

c

d)

d

5.

What is the function?

a)

y = sin(x)

b)

y = cos(x)

c)

y = tan(x)

d)

It's all waves to me

6.

What is the function?

a)

y = sin(x)

b)

y = cos(x)

c)

y = tan(x)

d)

it's all waves to me

7.

What is the function?

a)

$y=\cos\left(x\right)$

b)

$y=\sin\left(x\right)$

c)

$y=\tan\left(x\right)$

d)

It's all waves to me

8.

What is the period of
y=cos(3(x - π)) - 5?

a)

π/3

b)

π/6

c)

2π/3

d)

2π/6

9.

Where is the midline for
y=2cos(1/3(x +π/2)) +2

a)

1/3

b)

-2

c)

+2

d)

4

10.

What is the range of
y= -3sin(x)-2?

a)

[-2,2]

b)

[-5,1]

c)

[-4,2]

d)

[-3,3]

11.

What is the amplitude of
y= -3sin(x)-2?

a)

-3

b)

3

c)

-2

d)

2

12.

What is the period of y=4cos(5x)

a)

2π/5

b)

π

c)

5π/2

d)

5π

13.

What does a negative A value cause?

a)

A negative amplitude

b)

A reflection across the Y axis

c)

No effect

d)

A reflection across X axis

14.

What is the equation of graph?

a)

y = sin (5x)

b)

y = cos (5x)

c)

y = 5 sin x

d)

y = 5 cos x

15.

What is the period of the graph?

a)

$2\pi$

b)

$\pi$

c)

$\frac{\pi}{2}$

d)

$\frac{\pi}{4}$

16.

a)

A

b)

B

c)

C

d)

D

17.

What is the period?

a)

4π

b)

2π

c)

π

d)

8π

18.

Which of the following functions does NOT have a period of 2pi?

a)

y = sin (x)

b)

y = tan(x)

c)

y = cos (x)

19.

Where are the asymptotes of $y=3\tan\left(\frac{x}{4}\right)$ ?

a)

$x=\frac{\pi}{2}+\pi k$ , where k is an integer

b)

$x=\frac{\pi}{8}+\frac{\pi}{4}k$ , where k is an integer

c)

$x=2\pi+4\pi k$ , where k is an integer

d)

$x=4\pi+8\pi k$ , where k is an integer

20.

What is the horizontal shift of

$y=-2\tan\left(x-\frac{\pi}{2}\right)$ ?

a)

$Left\ \frac{\pi}{2}$

b)

$Right\ \frac{\pi}{4}$

c)

$Right\ \frac{\pi}{2}$

d)

$Left\ \frac{\pi}{4}$

3.4-3.8 Concept Review

Total questions: 20

Worksheet time: 17mins

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