Answer:
Step-by-step explanation:
The basketball reaches a maximum height of 86 feet after 1.5 seconds, so the vertex is (1.5, 86).f(x) = a(x − 1.5)² + 86We know the initial height is 50 feet, so plug in the point (0, 50) to find the value of a.50 = a(0 − 1.5)² + 86-36 = 2.25aa = -16f(x) = -16(x − 1.5)² + 86Simplify to get the standard form.f(x)
= -16(x − 1.5)² + 86f(x) = -16(x² − 3x + 2.25) + 86f(x) = -16x² + 48x − 36 + 86f(x) = -16x² + 48x + 50
