Question

What is the period of the graph of y=1/2 sin (2πx) -3?

A. 1
B. 1/2
C. 3
D. 2π

Answer 1

A. 1

Explanation:

Since this graph is in the form A sin (B(x+c))+d, where

• the amplitude is the absolute value of A
• The period is 2pi/B
• Phase Shift is C
• Midline is y=D

Therefore, the values are

A=1/2

B=2pi

C=0

D=-3

So the period is 2pi/2pi which is 1.