Answer:
15.21 yd
Step-by-step explanation:
The maximum height is the value of the y- coordinate of the vertex.
Given a parabola in standard form y = ax² + bx + c ( a ≠ 0 ), then
the x- coordinate of the vertex is
[tex]x_{vertex}[/tex] = - [tex]\frac{b}{2a}[/tex]
y = - 0.04x² + 1.56x ← is in standard form
with a = - 0.04 and b = 1.56 , thus
[tex]x_{vertex}[/tex] = - [tex]\frac{1.56}{-0.08}[/tex] = 19.5
Substitute x = 19.5 into the equation for corresponding value of y
y = -0.04(19.5)² + 1.56(19.5) = - 15.21 + 30.42 = 15.21 yd
Maximum height is 15.21 yd
