Jason jumped off a cliff into the ocean in Acapulco while vacationing with some friends. His
height as a function of time could be modeled by the function h(t) = -16t2 + 16t + 480 , where t
is the time in seconds and h is the height in feet.

a. How long did it take for Jason to reach his maximum height?

b. What was the highest point that Jason reached?

c. Jason hit the water after how many seconds?

Graph the parabola using the direction, vertex, focus, and axis of symmetry.

Vertex: (1/2,484)

Focus: (1/2, 30975/64)

Axis of Symmetry: x=1/2

Directrix: y=30977/64

x l y

1/2 l 484

1 I 480

A) How long did it take for Jason to reach his maximum height? -b/2a=-16/-32= 1/2s

B) What was the highest point that Jason reached?

484ft ~h(ois)

C) Jason hit the water after how many seconds?

roots -5&6 so 6s

Oh and by the way there is some seriously cool cliff jumps in Acapulco, I'm dying to go.

1/2s, 484ft, 6s

the answer is c.

step-by-step explanation: