Question

The graph of f(x)=3x^2+12 is vertically compressed by a factor of 1/3 to get the graph of function g. What is the simplified function rule for function g? Enter your answer in the blanks in order from left to right. blank(x) =x^ blank + blank Question 2 options: Blank # 1 Blank # 2 Blank # 3

Answer 1

Answer: To vertically compress a function by a factor of 1/3, we need to multiply its output (y-coordinate) by 1/3. This means that the function rule for the compressed function g will be:

g(x) = (1/3) f(x)

Substituting f(x) = 3x^2 + 12, we get:

g(x) = (1/3) (3x^2 + 12)

Simplifying, we get:

g(x) = x^2 + 4

Therefore, the simplified function rule for function g is:

g(x) = x^2 + 4.

Explanation: