Respuesta :
Answer:
[tex]g(x)[/tex] is a horizontal stretch of [tex]f(x)[/tex] by [tex]\frac{3}{4}[/tex] units.
Step-by-step explanation:
The given functions are;
[tex]f(x)=x^2[/tex]
and
[tex]g(x)=\frac{3}{4}x^2[/tex]
The parent function is [tex]f(x)=x^2[/tex].
The function [tex]g(x)=\frac{3}{4}x^2[/tex] is a horizontal stretch of [tex]f(x)=x^2[/tex] by [tex]\frac{3}{4}[/tex] units.

Answer:
The function g(x) is stretch of 3/4 units in y-direction of graph f(x).
Step-by-step explanation:
We have given two functions.
f(x) = x² and g(x) = 3/4x²
We have to find relation between them.
We can stretch a graph in y-direction by multiplying it by a constant.
Graph of f(x) is parabola.
g(x) = 3/4(x²)
g(x) = 3/4f(x)
Hence, the function g(x) is stretch of 3/4 units in y-direction of graph f(x).
