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.

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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).

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