Question

PLEASE HELP?

A ball is launched from a slingshot. Its height, h(x), can be represented by a quadratic function in terms of time, x, in seconds.

After 1 second, the ball is 148 feet in the air, after 2 seconds the ball is 272 feet in the air.

Find the height in feet of the ball after 6 seconds in the air?

Answer 1

For the answer to the question above,

From the data given, generate first the quadratic equation which best describe the height of the ball. The quadratic function has a general form of
f(x) = Ax^2 + Bx

Substituting the known data,

(1) 148 = A(1^2) + B(1)
(2) 272 = A (2^2) + B (2)
solving for A and B simultaneously,

A = -12
B = 160
So the to answer this problem, substitute 6 to x. Thus, after 6 seconds, the height is 528 feet.