Function g can be thought of as a scaled version of f(x)=x^2

Write the equation for g(x)

A scaled version means that our leading coefficient will change. Let's set up an equation to find our leading coefficient, a.

g(x) = a * x^2

Now that we have our equation, we need a point that is on g(x). The point given is (4,8). Let's use that point and plug x and y into our equation so that we can solve for a.

8 = a * (4)^2

8 = a * 16

a = 1/2

All that's left to do is plug in our a value into g(x).

g(x) = 1/2 x^2

Hope this helps!! :)