Question

If the graph of f(x)=x^2, how will the graph be affected if it is changed to f(x)=1/3x^2?

Answer 1

The graph would be compressed vertically by a factor of 1/3.

Explanation:

Multiplying a function by some constant is a way to stretch or compress that function. If the magnitude of the constant is greater than 1, you are vertically stretching, if the magnitude of the constant is less than one but greater than 0 you are vertically compressing your function.