Since the ball starts out on the ground before being kicked x=0. find the corresponding value for y, in feet.

Considering an example of football : -

When we kick the ball, it goes through a parabolic path whose equation is given by : -

y = ax² + bx + c

where 'c' is the y-intercept of parabolic curve on coordinate plane.

Depending upon the initial conditions, the value of c varies.

It says the ball starts out on the ground before being kicked, it means y-intercept is on ground i. e. c = 0.

Now the equation would become : - y = ax² + bx.

It says to find corresponding value of y when x=0.

Plugging x=0 in the above equation : -

y = a (0) ² + b (0)

y = 0

So, final answer is y = 0.