Find the quadratic function f(x)=ax^2+bx+c for which f(1)=0, f(-3)=32, and f(3)=-4

What's the function?

f(x)=

A ball is thrown straight upward. A position function s(t)=1/2gt^2+v0t+s0 can be used to describe theball's height,s(t), infeet, after t seconds. A graph of theball's height is shown to the right.

Complete parts a through c below.

a. Use the points labeled in the graph to find the values ofg, v0, and s0. Solve the system of linear equations involvingg, v0, and s0 using matrices.

g0=

v0=

s0=

A coordinate system has a horizontal t-axis labeled Time (seconds) from 0 to 4 in increments of 1 and a vertical s-axis labeled Height above Ground (feet) from 0 to 60 in increments of 10. A parabola that opens downward has approximate vertex (1.6, 42) and passes through the plotted points (1, 36), (2, 40), and (3, 12). Each plotted point is labeled with its coordinates.

a. Use the points labeled in the graph to find the values ofg, v0, and s0. Solve the system of linear equations involvingg, v0, and s0 using matrices.