Use The Vertex (h, K) And A Point On The Graph (x, Y) To Find ... - Wyzant

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Subject ZIP Search Search Find an Online Tutor Now Ask Ask a Question For Free Login Math Precalculus Maths use the vertex (h, k) and a point on the graph (x, y) to find the general form of the equation of the quadratic function

(h, k) = (3, 2), (x, y) = (10, 1)

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Ooyeon

The vertex form is a(x-h)2 + k

So here y = a (x-3)2 + 2

When x = 10, y =1 , so 1 = a . 72 + 2 so -1 = 49a, so a = -1/49

So y = (-1/49) (x-3)2 + 2

If you need the standard form expand the squared bracket

y = (-1/49) (x2 - 6x + 9) + 2 = (-1/49) x2 + (6/49) x + ( 2 - 9/49)

Mike

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09/17/20

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