The path of a football kicked by a field goal kicker can be modeled by the equation y = –0.04x2 + 1.56x, where x is the horizontal distance in yards and y is th
Mathematics
Clarkodk
Question
The path of a football kicked by a field goal kicker can be modeled by the equation y = –0.04x2 + 1.56x, where x is the horizontal distance in yards and y is the corresponding height in yards. What is the approximate maximum height of the football?
2 Answer

1. User Answers Anonym
convert to vertex form:
= 0.04(x^2 + 39x)
= 0.04( (x + 19.5)^2  380.25)
vertex is at 0.04 * 380.25 = 15.21 yards
Maximum height is about 15.2 yards 
2. User Answers lisboa
Answer:
Maximum height is 15.21 yards
Stepbystep explanation:
The path of a football kicked by a field goal kicker can be modeled by the equation [tex]y = 0.04x^2 + 1.56x[/tex], where x is the horizontal distance in yards and y is the corresponding height in yards
MAximum height occurs at the vertex
Lets find x coordinate of vertex using formula
[tex]x=\frac{b}{2a}[/tex]
[tex]a=0.04, b= 1.56[/tex]
plug in all the values
[tex]x=\frac{1.56}{2(0.04)}=19.5[/tex]
To find out maximum heigt, plug in 19.5 for x in the given equation
[tex]y = 0.04x^2 + 1.56x[/tex]
[tex]0.04\left(19.5\right)^2\:+\:1.56\left(19.5\right)=15.21[/tex]