SOLUTION: Which is an equation for the parabola that has vertex (4,2) and passes through the point (-1,-73)?

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Question 311025: Which is an equation for the parabola that has vertex (4,2) and passes through the point (-1,-73)?
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
The vertex form of a parabola is,
y=a%28x-h%29%5E2%2Bk
where (h,k) is the vertex.
y=a%28x-4%29%5E2%2B2
Use the point to determine a.
-73=a%28-1-4%29%5E2%2B2
-75=25a
a=-3
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highlight_green%28y=-3%28x-4%29%5E2%2B2%29