Free Printable Quiz Transformations of Trig Functions

1.

Find the amplitude of y = -4 sin[2(x+π)].

a)

-4

b)

4

c)

π

d)

2

2.

Find the period of y=-4sin[2(x+π)]

a)

-4

b)

4

c)

π

d)

2

3.

Find the phase shift.

y=\cos\left(x-\frac{\pi}{2}\right)

a)

$right\ \frac{\pi}{2}$

b)

$left\ \frac{\pi}{2}$

c)

$up\ \frac{\pi}{2}$

d)

$down\ \frac{\pi}{2}$

4.

Find the phase shift.
$y=\sin\left(x+\frac{\pi}{4}\right)$

a)

$right\ \frac{\pi}{4}$

b)

$left\ \frac{\pi}{4}$

c)

$up\ \frac{\pi}{4}$

d)

$down\ \frac{\pi}{4}$

5.

Sine or Cosine?

a)

y=sinx

b)

y=cosx

6.

Sine or Cosine?

a)

y=sinx

b)

y=cosx

7.

Assuming no transformations, what type of function is this?

a)

Sin

b)

Cos

c)

Tan

d)

Cot

8.

Determine an equation for this graph:

a)

y=csc(x)

b)

y=sec(x)

c)

y=cot(x)

d)

y= tan(x)

9.

What is the domain and range of y=sinx?

a)

D: (-∞, ∞)
R: [-1, 1]

b)

D: (-∞, ∞)
R: [-π, π]

c)

D: (∞, -∞)
R: [-1, 1]

d)

D: (-∞, ∞)
R: [-∞, ∞]

10.

What is the period of the function $y=2\sin\ \frac{2}{3}x-1$ ?

a)

$\frac{2}{3}$

b)

2

c)

$\frac{2}{3}\pi$

d)

$3\pi$

11.

Find the vertical shift.

y=2\sin\ \left(5x-\frac{π}{3}\right)-4

a)

down 4

b)

up 4

c)

right π/3

d)

left π/3

Quiz Transformations of Trig Functions

Total questions: 11

Worksheet time: 9mins

Similar Resources on Wayground