Question

Function ggg can be thought of as a scaled version of f(x)=x^2f(x)=x 2 f, left parenthesis, x, right parenthesis, equals, x, squared. A parabola labeled f represents the equation y equals x squared. A parabola labeled g passes through the point negative 4, 8, through the origin, and through the point 4, 8. Write the equation for g(x)g(x)g, left parenthesis, x, right parenthesis.

Answer 1

Answer:

g(x)=15/20 x^2

Step-by-step explanation:

write 15/20 as a fraction then x^2 comes after it

I took the khan test and aced it

Answer 2

A scaled function is a dilated function

The function g(x) is: $\mathbf{g(x) = \frac 12x^2}$

Function f is given as:

$\mathbf{f(x) = x^2}$

Function g is a scaled version of f(x).

So, we have:

$\mathbf{g(x) = kx^2}$ --- where k is the scale

The graph of g(x) passes through (4,8).

So, we have:

$\mathbf{8 = k \times 4^2}$

$\mathbf{8 = k \times 16}$

Divide both sides by 16

$\mathbf{\frac 12 = k }$

So, we have:

$\mathbf{k = \frac 12 }$

Substitute $\mathbf{k = \frac 12 }$ in $\mathbf{g(x) = kx^2}$

$\mathbf{g(x) = \frac 12x^2}$

Hence, the function g(x) is: $\mathbf{g(x) = \frac 12x^2}$

Read more about scaled functions at

https://brainly.com/question/13819784