SOLUTION: The equation of a parabola is given. y=1/4x2−3x+18 What are the coordinates of the focus of the parabola?

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Question 1082223: The equation of a parabola is given.
y=1/4x2−3x+18
What are the coordinates of the focus of the parabola?
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Convert to the focus form of the parabola.
4y=x%5E2-12x%2B72
4y=%28x%5E2-12x%2B36%29%2B72-36
4y=%28x-6%29%5E2%2B36
4y-36=%28x-6%29%5E2
4%28y-9%29=%28x-6%29%5E2
So the vertex is (6,9) and the focus is (6,9%2B1)=(6,10).
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