# How do you use the amplitude and period to graph f(x) = 4 cos(x - pi/2 ) + 1?

Feb 19, 2016

#### Answer:

An equivalent form is f(x) = 4 sin x + 1. The period is 2$\pi$ and amplitude is 4. The graph is the graph of sin x wave moved parallel through 1 unit in the f- direction. .

#### Explanation:

cos(x $-$$\pi$/ 2) = cos ($\pi$/2$-$x) = sin x.