Question

How do you graph `y=1+5cos(x-pi)`?

Answer 1

We start with the graph of `y=cosx`

graph{cos(x) [-10, 10, -6, 7]}

We then translate the graph `pi` units to the right along `Ox` giving `y=cos(x-pi)`

graph{cos(x-pi) [-10, 10, -6, 7]}

We then scale the graph along `Oy` by a factor of `5`giving `y=5cos(x-pi)`

graph{5cos(x-pi) [-10, 10, -6, 7]}

Finally, we translate then the graph by `1` unit up `Oy` by a factor of `5`giving `y=1+5cos(x-pi)`

graph{1+5cos(x-pi) [-10, 10, -6, 7]}