Free Printable Sin/Cos graphs - period and midline

1.

The __________ measures the distance from the midline to the max or min of the function.

a)

Amplitude

b)

Phase Shift

c)

Vertical Translation

d)

Horizantal Translation

2.

The horizontal length required to complete one cycle.

a)

Period

b)

Cycle

c)

Axis of Oscillation

d)

Amplitude

3.

What is the period of y= -3sinx

a)

π

b)

2π

c)

3π

d)

4π

4.

What is the period of y=4cos5x

a)

2π/5

b)

π

c)

5

d)

5π

5.

What is the amplitude of the graph?

a)

1

b)

3

c)

6

d)

9

6.

What is the period of y = 4Cos(2x)?

a)

4π

b)

π

c)

2π

d)

π/2

7.

What is the amplitude and period of y = 2sin(πx)

a)

2 and 2

b)

π and 2

c)

2 and π

d)

2π and 2

8.

A complete cycle of the function $y=A\cos\left(Bx\right)+C$ is shown. What is the value of A?

a)

12

b)

-12

c)

24

d)

8

9.

A complete cycle of the function $y=A\cos\left(Bx\right)+C$ is shown. What is the value of B?

a)

$\frac{\pi}{4}$

b)

$\frac{\pi}{8}$

c)

$\frac{\pi}{2}$

d)

$\frac{8\pi}{3}$

10.

What are the Amplitude, Period and Midline of this sin graph?

a)

Amp = 3
Period = $2\pi$

Midline - y = -1

b)

Amp = 3

Period = $\pi$

Midline - y = 3

c)

Amp = 2
Period = $3\pi$
Midline - y = 0

d)

Amp = 2
Period = $2\pi$
Midline - y = 1

11.

What is the midline of the graph shown?

a)

$y=2$

b)

$y=-2$

c)

$y=6$

d)

$y=0$

12.

Which equation best represents the graph pictured above?

a)

$y=3\sin x+1$

b)

$y=3\cos x+1$

c)

$y=2\sin x+1$

d)

$y=2\cos x+1$

13.

What is the midline of $y=3\cos5x-2$

a)

$y=3$

b)

$y=\frac{5}{3}$

c)

$y=-2$

d)

$y=5$

Sin/Cos graphs - period and midline

Total questions: 13

Worksheet time: 15mins

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