Question

Graph the parent function f (x) = x2 horizontally compressed to form the graph of y = f(3x)?

Answer 1

To horizontally compress the parent function f(x) = x^2, we need to divide x by a constant inside the function. In this case, we will divide x by 3, so the new function is y = f(3x) = (3x)^2 = 9x^2.

The graph of y = f(3x) = 9x^2 will be a horizontally compressed version of the graph of y = x^2. It will have the same shape but will be narrower.

Here is the graph of y = 9x^2:

The graph of y = 9x^2 is a narrower version of the graph of y = x^2, with the same U-shaped curve, but compressed horizontally by a factor of 3.