Question

Alg 2 Neep help asap

Suppose you hit a baseball and its flight takes a pararoblic path. the height of the ball at certain times appears in the "table" below.

(Table)
Time (s) 0.5 0.75 1 1.25
Height (ft) 10 10.5 9 5.5

A,) Find a quadratic model for the ball's height as a function of time

B.) Write athe quadratic function in factored form.

Answer 1

set up the general quadratic equation (for a parabola) as:
y=ax^2+bx+c
use 3 of the 4 sets of known points (x,y) to obtain a system of 3 equations, solve for a, b and c.
Example:
10=a(0.5)^2+b(0.5)+c
10.5=a(0.75^2+b(0.75)+c
9=a+b+c
Solving for a, b and c gives
a=-16, b=22, =3
I will leave the factoring to you.

Answer 2

THANK YOU

Answer 3

yw! :)