Answer:
Horizontal stretch:
If a parent function y = f(x) ,
Replace x with [tex]\frac{x}{n}[/tex] result in horizontal stretch by a factor of n.
then a new function become [tex]g(x) = f(\frac{x}{n})[/tex]
As per the statement:
Horizontally stretch the quadratic parent function [tex]f(x) = x^2[/tex] by a factor of 4 .
By definition of Horizontal stretch:
A equation of new function become:
[tex]g(x) = f(\frac{x}{4})=(\frac{x}{4})^2=\frac{1}{16}x^2[/tex]
therefore, a equation of the new function is, [tex]g(x) = \frac{1}{16}x^2[/tex]
