# How do you graph #f(x)=sin (x/2 + pi/8)#?

##### 1 Answer

Mar 8, 2018

Graph it as you would normally graph

#### Explanation:

Multiplying or dividing x in a sinusoidal function changes the frequency of the oscillation. Normally,

graph{sin(x) [-10, 10, -5, 5]}

If we plot

graph{sin(x/2) [-10,10,-5,5]}

See how it's half of the oscillations?

finally, I will plot

graph{sin(x/2+pi/8) [-10,10,-5,5]}

notice that the equation is 0 at x=