Question

I want help solving Id also like to know how you got the answer for future reference. ♥️​

Answer 1

5 seconds and 488 ft

Explanation:

(a)

given a quadratic in standard form

y = ax² + bx + c ( a ≠ 0 ), then

the x- coordinate of the vertex is

x = -
`(b)/(2a)`

y = - 16x² + 160x + 88 ← is in standard form

with a = - 16 and b = 160 then

`x_(vertex)` = -
`(160)/(-32)` = 5

the maximum height is at the vertex, the turning point on the graph

then it takes 5 second to reach its maximum height

(b)

to find the maximum height substitute x = 5 into the equation

y = - 16(5)² + 160(5) + 88

= - 16(25) + 800 + 88

= - 400 + 888

= 488

maximum height is 488 ft