Question

How do the graphs of f (x) = x 2 and g (x)= 3/4 x 2? relate?

Answer 1

Answer:

$g(x)$ is a horizontal stretch of $f(x)$ by $\frac{3}{4}$ units.

Step-by-step explanation:

The given functions are;

$f(x)=x^2$

and

$g(x)=\frac{3}{4}x^2$

The parent function is $f(x)=x^2$.

The  function $g(x)=\frac{3}{4}x^2$ is a horizontal stretch of  $f(x)=x^2$ by $\frac{3}{4}$ units.

Answer 2

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).