The height $y($in feet$)$ of a ball thrown by a child is

$y=-\frac{1}{12}{x}^2+6x+3$

where $x$ is the horizontal distance in feet from the point at which the ball is thrown.

$($a$)$ How high is the ball when it leaves the child's hand? feet

$($b$)$ What is the maximum height of the ball? feet

$($c$)$ How far from the child does the ball strike the ground? feet

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