Question

Write a rule for g that represents a horizontal shrink by a factor of 1/2, followed by a translation 5 units up of the graph of f(x)=e^x

Answer 1

g(x) = e^(2x) +5

Explanation:

To shrink a functions graph horizontally by a factor of 1/k, replace x in the function with kx.

To translate the graph upward by h units, add h to the function value.

g(x) = f(2x) +5

g(x) = e^(2x) +5