# How do you graph y=cos2x+4?

Mar 3, 2018

See below.

#### Explanation:

Assuming there are no omitted parentheses in the question, this ia

$y = \cos \left(2 x\right) + 4$

Replacing argument $x$ with $b x$ changes the period from $2 \pi$ to $2 \frac{\pi}{b}$, in this case the period will be $\pi$

Adding a constant $d$ after the cosine moved the graph up (for positive $d$) or down (for negative $d$). In this case we shift the graph up $4$.

graph{cos(2x)+4 [-6.45, 6.034, 0.9, 7.144]}