Question

Find the amplitude, period, and phase shift of the function. Graph the function. Be sure to label key points. Show at least two periods.

y = 4 sin (πx + 2) - 5

Answer 1

Step 1:

The function is .

.

The standard form of the sine function is .

Where is the Amplitude, is the vertical shift and .

Compare the functions,

.

The Amplitude of the Function is

The period of a sine function is .

Phase shift of a function is .

Step 2:

Graph of the function is .

Solution:

Graph of the function is .