Consider parent function f(x)=e^x and the transformes function g(x)= -1/2e^3x+4, quantitatively explain the transformations to the parent function, f(x) that will produce g(x).

 reflection across the x-axis

               vertical shrink by a factor of 1/2

               horizontal shrink by a factor of 1/3

               vertical shift up 4 units      

Step-by-step explanation:

The transformed function has the following:

Negative:    reflection across the x-axis

A = 1/2         vertical shrink by a factor of 1/2

B = 3            horizontal shrink by a factor of 1/3

C = 0            no horizontal shift

D = 4            vertical shift of 4 units up