Question

WILL MARK BRAINLIEST!!!
A fireworks rocket is launched from a hill above a lake. The rocket will fall into the lake
after exploding at its maximum height.
The rocket's height above the surface of the lake is given by:
g(x) = -16x² + 64x + 80
How long does it take for the rocket to reach its maximum height?

Answer 1

Answer:

2 seconds

Explanation:

Equation: g(x) = -16x² + 64x + 80

In order to find the maximum:

vertex : -b/2a

           = -64/2(-16)

           = -64/-32

           = 2

Maximum Height:

= -16(2)² + 64(2) + 80

= 144 ft

Answer 2

The vertex should be maximum as a is negative and parabola opening downwards

So

x coordinate of vertex

• -/2a
• -64/-32
• 2

y coordinate is max height

• -16(2)²+64(2)+80
• -16(4)+128+80
• -64+128+80
• 128+16
• 144ft

Vertex at (2,144)

The rocket would take 2s