Let the graph of g be a vertical shrink by a factor of 13, followed by a translation 5 units up of the graph of f(x)=3x3−x. Write a rule for g.

Question

Let the graph of  be a vertical shrink by a factor of , followed by a translation 5 units up of the graph of . Write a rule for .

g(x)= ??

Answer 1

It seems you have a vertical shrink and then a translation up

the equation for vertical shrinks

is f(x)/k , so divide your f(x) equation by 13

the equation for vertical translations is

g(x) = f(x) + k then to find g(x) take your f(x) equation and add 5

Let me know if that helps you get started. Also, let me know if you have follow up questions.