Write a function that transforms f(x)=2x^3+4 in the following way: Stretch vertically by a factor of 2 and a shift 5 units left

Question

What are the steps as to how to find this equation?

Answer 1

f(x) = 2x³ + 4

 

Stretch vertically be a factor of 2:

 

f(x) = 2*2x³ + 4 = 4x³ + 4

 

Shift 5 units to the left:

 

f(x) = 4(x+5)³ + 4