Question 201683: Find the rule of a quadratic function whose graph has the given vertex and passes through the given point.
vertex (-1, 3); point (4, 53)
B) f(x) = 2(x + 1)2 + 3
C) f(x) = (x + 1)2 + 3
Answer by RAY100(1637)   (Show Source):
You can put this solution on YOUR website! Rough sketch shows a potential y parabola pointed up
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standard form, (y-k) = A (x-h)^2
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subst vertex ( -1,3)
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(y-3) = A (x+1)^2
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subst (4,53)
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(53-3) =A(4+1)^2
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50 = A * 25
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A=2
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EQN ,,,, (y-3) = 2(x+1)^2
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This matches answer (B)
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