SOLUTION: Given the function, y=1/2 sin (x/4+2pi)-3, identify the period and the phase shift.

Question 967368: Given the function, y=1/2 sin (x/4+2pi)-3, identify the period and the phase shift.
Answer by MathLover1(20850) (Show Source): You can put this solution on YOUR website!

A periodic function is a function, such as sin(x), that repeats its values in regular intervals
Sin(x) oscillates, or goes back and forth, between its maximum and minimum value.
The amplitude of the graph is the maximum height the graph reaches from the x-axis.
The period is the distance along the x-axis that is required for the function to make one full oscillation.
The phase shift is the measure of how far the graph has shifted horizontally.
Equation for graphing cos function:

For given function:

Amplitude: (absolute value)

Period:

=> periodic in with period
Phase Shift:
Vertical Shift (up or down): => (3 units down)

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