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

Jul 3, 2018

We start with the graph of $y = \cos x$

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

We then translate the graph $\pi$ units to the right along $O x$ giving $y = \cos \left(x - \pi\right)$

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

We then scale the graph along $O y$ by a factor of $5$giving $y = 5 \cos \left(x - \pi\right)$

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

Finally, we translate then the graph by $1$ unit up $O y$ by a factor of $5$giving $y = 1 + 5 \cos \left(x - \pi\right)$

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