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

1 Answer
Rhys
Oct 30, 2017

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]}

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