# What is the graph of y=cos(x-pi/4)?

Oct 17, 2015

The same as graph of $\cos \left(x\right)$ but shifts all the point $\frac{\pi}{4}$ radians to the right.

#### Explanation:

The expression is actually saying:

Trace the curve of $\cos \left(c\right)$ backward until you reached the point on the x-axis of $x - \frac{\pi}{4}$ radians and note the value. Now move back to the point on the x-axis of $x$ and plot the value you would have noted at $x - \frac{\pi}{4}$.

My graphing package does not work in radians so I was forced to use degrees. $\pi \text{ radians" = 180^0 " so } \frac{\pi}{4} = {45}^{0}$

The pink plot is the blue dotted plot transformed $\frac{\pi}{4}$ radians to the right. In other words it is $\cos \left(x - \frac{\pi}{4}\right)$