SOLUTION: List the transformations, in order, that need to be applied to f(x)  to obtain g(x) = 4f(−1/3x+1) + 11

Algebra ->  Functions -> SOLUTION: List the transformations, in order, that need to be applied to f(x)  to obtain g(x) = 4f(−1/3x+1) + 11       Log On


   

Question 1179937: List the transformations, in order, that need to be applied to f(x)  to obtain g(x) = 4f(−1/3x+1) + 11
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

List the transformations, in order, that need to be applied to f%28x%29%E2%80%89 to obtain
+g%28x%29%E2%80%89=+4f%28-%281%2F3%29x%2B1%29%E2%80%89%2B+11+
in general, you have
+g%28x%29%E2%80%89=+af%28bx%2Bc%29%E2%80%89%2B+d+

1. a=4-> it undergoes a vertical+stretch about the x-axis by a factor of 4, and only the y-coordinates are affected
2. b=-1%2F3 =>it undergoes a horizontal+stretch about the y-axis by a factor of 1%2Fabs%28b%29+=1%2F%281%2F3%29=3+, and only the x-coordinates are affected
3.
c=1=>horizontal translation of 1 units left
4. d=11=>moves it 11 units up