Amplitude, Period, Phase Shift of a Trig Function

Practice Questions

Pre-Calculus › Amplitude, Period, Phase Shift of a Trig Function

Questions

10

1

Which of the following equations could represent a cosine function with amplitude 3, period $\frac{\pi}{2}$ , and a phase shift of $\frac{\pi}{4}$ ?

2

Write the equation for a cosine graph with a maximum at $\left( \frac{ \pi }{3} , 3 \right)$ and a minimum at $\left(\frac{ 4 \pi }{3} , -3 \right)$ .

3

Find the phase shift of .

4

What is the amplitude of the following function?

$y = -24\sin(x-\pi)+14$

5

What is the period of this sine graph?

Trig period 1

6

Which equation would produce this sine graph?

Phase shift 2

7

State the amplitude, period, phase shift, and vertical shift of the function $y=-7\sin(6x+\pi)-4$

8

State the amplitude, period, phase shift, and vertical shift of the function $y=-\cos(x-\pi)+3$

9

State the amplitude, period, phase shift, and vertical shift of the function $y=\sin(2x-3)+2$

10

Select the answer choice that correctly matches each function to its period.

Return to subject