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

1 Answer
Jul 3, 2018

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]}