The path of the diver is given by y= 4/9 x^2+24/9 x+12where y is the height in feet and x is the horizontal distance from the end of the diving board (in feet). What is the maximum height of the diver?

Therefore the maximum height of the diver is 16 feet.

Step-by-step explanation:

The path of a driver is given by

where y is the height in feet and x is the horizontal distance.

It is an equation of parabola.

Here  and  

Since a<0 then the open side of the parabola is in downwards direction.

The maximum height of the driver is the y-coordinate of vertex the parabola.

The x-coordinate of the vertex

                                                   =3

Putting the value of x in the given equation

  = - 4+8+12

  =16

Therefore the coordinate of the vertex is = (3,16)

Therefore the maximum height of the diver is 16 feet.

i think it is c, not positive though

step-by-step explanation:

step-by-step explanation:

your mom