SOLUTION: A parabola has the vertex (2, -30 ) and passes through the point (5, -12 ). Find a function f with this graph. f(x) = Please explain how I would find the solution Thank yo

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Question 948107: A parabola has the vertex (2, -30 ) and passes through the point (5, -12 ). Find a function f with this graph.
f(x) =
Please explain how I would find the solution
Thank you
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
A parabola has the vertex (2, -30 ) and passes through the point (5, -12 ). Find a function f with this graph.
f(x) =
Please explain how I would find the solution
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Vertex form::
a(x-h)^2 = y-k
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Solve for "a"::
a(x-2)^2 = y+30
-----
a(5-2)^2 = -12+30
----
9a = 18
a = 2
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Equation:
2(x-2)^2 = y+30
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y = 2(x-2)^2 -30
-------
y = 2x^2 - 8x -26
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graph%28400%2C400%2C-50%2C50%2C-50%2C50%2C2x%5E2-8x-26%29
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Cheers,
Stan H.
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