# How do you graph cos(x-pi/4)?

Oct 30, 2017

graph{cos(x-pi/4) [-4.25, 5.75, -2.46, 2.54]}
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#### Explanation:

This question concerns the ideas of transformations for functions;
So we know if $y = f \left(x\right)$ then $y = f \left(x - a\right)$ simply means the function has been translated by $\left(a , 0\right)$, or $a$ units in the positive $x$ direction

So $\cos \left(x - \frac{\pi}{4}\right)$ means the function $\cos \left(x\right)$;
graph{cosx [-5.03, 5.03, -2.514, 2.514]}

Being translated $\frac{\pi}{4}$ units to the right;

So $\left(0 , 1\right) \to \left(\frac{\pi}{4} , 1\right)$ and so on...

So hence yielding;

graph{cos(x-pi/4) [-3.374, 6.686, -2.474, 2.554]}