Answer:
Step-by-step explanation:
First thing, let's call f(x) "y". So y varies directly with x^2 looks like this:
y = kx^2
k is our constant of variation. We need to solve for k before we can find what we are asked to find.
Filling in:
10 = k(-4)^2 and
10 = 16 k so
k = 5/8 (reduced)
Now we will use that value of k along with the given of x = 3 to find y:
y = (5/8)(3)^2 and
y = (5/8)(9)
y = 45/8 which simplifies to
y = 5.625
