SOLUTION: Write a function that transforms f(x)=2x^3+4 in the following way: Stretch vertically by a factor of 6 and shift 5 units left. Thanks!

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Write a function that transforms f(x)=2x^3+4 in the following way: Stretch vertically by a factor of 6 and shift 5 units left. Thanks!      Log On


   

Question 546188: Write a function that transforms f(x)=2x^3+4 in the following way: Stretch vertically by a factor of 6 and shift 5 units left.

Thanks!
Answer by NAMath(12) About Me  (Show Source):
You can put this solution on YOUR website!
This is a cubics function so you use the standard formula of
y=a(x-h)^3+k
In order to stretch it vertically you plug in the 6 to the a and to shift it five units to the left you plug in 5 as the h
y=8(x+5)^3+4