Path of A Diver

[nycmathguy]

Section 2.1
Question 67

Let me see.

Vertex = (-b/2a, f(-b/2a))

Let a = -4/9

Let b = 24/9

Let c = 12

-(24/9) ÷ 2(-4/9)

-(24/9) ÷ (-8/9)

-(24/9) • (-9/8)

(24/9) • (9/8)

(24/8) = 3

Vertex = (3, f(3)).

I now simply have to find f(3) to be done.

True?

 

[MathLover1]

True!

 

[nycmathguy]

True!

This is easy enough to do on my own.

 

[nycmathguy]

True!

Let f(3) be the maximum height of the diver.

f(3) = -(4/9)(3)^2 + (24/9)(3) + 12

f(3) = -(4/9)(9) + (24/3) + 12

f(3) = -4 + 8 + 12

f(3) = -4 + 20

f(3) = 16

The diver is 16 feet above the ground.