SOLUTION: Find an equation for the parabola shown in the figure. V(-4,3) P (2,2)

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Question 687621: Find an equation for the parabola shown in the figure.
V(-4,3) P (2,2)

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Find an equation for the parabola shown in the figure.
V(-4,3) P (2,2)
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Assuming that V is the vertex and P is a point on the parabola,
Form: y = a(x-h)^2 + k
Solve for "a" using V and P:
2 = a(2+4)^2+3
2 = 36a + 3
a = -1/36
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Equation:
y = (-1/36)(x+4)^2 + 3
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Cheers,
Stan H.