Write the equation for the graphed function. i worked out y = 5 - 4 (x + 4)^2 but that isn't right. any would be appreciated.

Vertex form for a parabola with vertex (p,q) is

We have (p,q)=(-4,5) and another point (-3,2) so we can solve for a:

Putting it together,

We could multiply that out if we like but I won't bother.

then, the surface area of the sphere shown in the image is: 256π sq. units!

step-by-step explanation:

the lateral surface area of a sphere is 2πrh where h=2r.

then:

surface area = 4πr^2.

in this case, r=8 units ⇒ surface area = 4π(8 units)^2. = 256π sq. units!

then, the surface area of the sphere shown in the image is: 256π sq. units!

using pemdas, (order of operations) you'll see the answer is 24.