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

The first thing we must do in this case is to see which equations meet the following condition:
 "A volleyball reaches its maximum height of 13 feet, 3 seconds after its served"
 We have then:
 Equation 1:
 f (x) = - 2 (x-3) ^ 2 + 13
 f (3) = - 2 (3-3) ^ 2 + 13
 f (3) = 13
 Yes, meet the condition
 Equation 2:
 f (x) = - 2x ^ 2 + 12x-5
 f (3) = - 2 (3) ^ 2 + 12 (3) -5
 f (3) = - 18 + 36-5
 f (3) = 13
 Yes, meet the condition
 
 B: f (x) = - 2x ^ 2 + 12x-5
 D: f (x) = - 2 (x-3) ^ 2 + 13