Avolleyball reaches its maximum height of 13 feet, 3 seconds after its served. which of the following quadratics could model the height of the vollyball over time after it is served. select all that apply.
a: f(x)=2x^2+12x+5
b: f(x)=-2x^2+12x-5
c: f(x)=-2x^2-12x+5
d: f(x)=-2(x-3)^2+13
e: f(x)=-2(x+3)^2+13

If it reaches its maximum height a t=3 its velocity must be zero at t=3

dy/dx=0 at t=3

dA/dx=4x+12=24 at t=3 so this does not apply

dB/dx=-4x+12=0 at t=3 and B=13 at t=3 so B applies

dC/dx=-4x-12=-24 at t=3 so this does not apply

dD/dx=-4x-12=-24 at t=3 so this does not apply

dE/dx=-4x-12=-24 at t=3 so this does not apply

So only quadratic B: reaches a maximum height of 13 feet at 3 seconds.