Answer: 540 ft
Step-by-step explanation:
When given the equation in standard form y = ax² + bx + c,
the Axis of Symmetry can be found using the formula x = -b/(2a).
Plug that x-value into the given equation to find the y-value which represents the max (if "a" is negative) or the min (if "a" is positive)
y = -10x² + 160x - 100
↓ ↓ ↓
a= -10 b=160 c= -100
[tex]\text{AOS:}\quad x=\dfrac{-b}{2a}\quad =\dfrac{-(160)}{2(-10)}\quad =\dfrac{-160}{-20}\quad =8[/tex]
Max: y = -10(8)² + 160(8) - 100
= -10(64) + 1280 - 100
= -640 + 1180
= 540
