Re-write the quadratic function below in Standard Form y=-2(x-6)^2-3
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The rock will hit the ground when y=0, so we need to solve this equation for its roots. To do that, we set it equal to 0:
Divide everything by -0.005 to clear out the decimals:
Now use the quadratic formula:
or 
We want the larger x value since the smaller one is when the rock will reach the top of the hole.
Divide everything by -0.005 to clear out the decimals:
Now use the quadratic formula:
We want the larger x value since the smaller one is when the rock will reach the top of the hole.