Question

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

Answer 1

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

Explanation:

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

So `cos(x-pi/4)` means the function `cos(x)`;
graph{cosx [-5.03, 5.03, -2.514, 2.514]}

Being translated `pi/4` units to the right;

So `(0,1) to (pi/4,1)` and so on...

So hence yielding;

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