Question

Write a formula for the function g described below.
The graph of f(x)= x^2 is vertically compressed by a factor of 1/3 units, then shifted to the right 5 units and
up 6 units.

Answer 1

Answer:

  g(x) = 1/3(x -5)^2 +6

Step-by-step explanation:

Vertical compression multiplies the function by the scale factor. Shifting it up adds the translation amount to the scaled function. Shifting right by 5 replaces x with x-5.

So, the transformed function is ...

  g(x) = 1/3(x -5)^2 +6