Step 1:

The height $\"\"$ (in feet) of a ball thrown by a child is $\"\"$ .

Here $\"\"$ is the horizontal distance in feet from the point at which the ball is thrown.

Substitute $\"\"$ in $\"\"$ to find the y intercept.

(a)

$\"\"$

Hence, the ball was $\"\"$ feet above the ground before it was thrown.

(b)

The vertex form of the general equation is $\"\"$ .

Rewrite the equation into vertexform is

\ \ $\"\"$

$\"\"$

Thus, the maximum height of the ball is $\"\"$ .

(c)

Find the zeros (factor the equation and set both factors equal to zero.

$\"\"$

The child far from $\"\"$ the ball strike the ground.

Solution: \ \

(a) The ball was $\"\"$ feet above the ground before it was thrown.

(b) The maximum height of the ball is $\"\"$ .