# How do you graph y = 1/2cos x?

Dec 19, 2015

If you know how to graph $\cos \left(x\right)$ then just shrink it vertically by $\frac{1}{2}$ this would give you the graph of $y = \frac{1}{2} \cos \left(x\right)$

#### Explanation:

Let me take a couple of known values of $\cos \left(x\right)$ which would help you understand what happens to the graph of $\cos \left(x\right)$.

$\cos \left(0\right) = 1$ but for $\frac{1}{2} \cos \left(0\right) = \frac{1}{2} \left(1\right) = \frac{1}{2}$
Similarly each value of $\cos \left(x\right)$ is halved.

The final graph would be vertically shrunk.