A ball is thrown into the air. The function h (x) = - 16 (x - 2) 2 + 72 models the height, in feet, of the ball after x seconds. What is the equation in standard form, and what is the maximum height of the ball?

A. h (x) = - 16x2 + 32x + 72; 72 ft

B. h (x) = - 16x2 - 32x + 72; 32 ft

C. h (x) = - 16x2 - 64x + 32; 32 ft

D. h (x) = - 16x2 + 64x + 8; 72 ft

h (x) = - 16 xx + 64 x + 8, in Standard Form

Vertex at (2, 72) maximum height at 72 feet

Step-by-step explanation:

We have: h (x) = - 16 (x - 2) 2 + 72

this function is in Vertex form.

the Standard form is when we expand out the expression.

h (x) = - 16 * (x*x - 4x + 4) + 72

h (x) = - 16 xx + 64 x - 64 + 72

h (x) = - 16 xx + 64 x + 8

Vertex at (2, 72) maximum height at 72 feet