Question

How do I graph `y=cos(x-π/4)`?

Answer 1

Below

Explanation:

`y=cos(x-pi/4)` is in the general form `y=acos(nx-b)`
where:
a = amplitude

So we know that its amplitude is 1
the period is: `T=(2pi)/n = (2pi)/1 = 2pi`
and we shift the equation to the right by `pi/4` from `y=cosx`

Below is the graph `y=cosx`
graph{cosx [-10, 10, -5, 5]}

Now, this equation needs to be shifted to the right by `pi/4` which means that each x-value needs to have `pi/4` added to it. Just to be clear, the y-value still remains the same

Below is the graph `y=cos(x-pi/4)`

graph{cos (x-pi/4) [-10, 10, -5, 5]}