SOLUTION: determine the quadratic function f whose graph is given. The vertex is (1,-1) and the other given point is (2,1)

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Question 1053508: determine the quadratic function f whose graph is given. The vertex is (1,-1) and the other given point is (2,1)
Found 2 solutions by josgarithmetic, MathTherapy:
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
y=v%28x-1%29%5E2-1

v%28x-1%29%5E2=y%2B1
v=%28y%2B1%29%2F%28x-1%29%5E2
v=%281%2B1%29%2F%282-1%29%5E2
v=2

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highlight%28y=2%28x-1%29%5E2%2B1%29

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Standard Form equation was used and solution relied on handling steps from the standard form.

Answer by MathTherapy(10552) About Me  (Show Source):
You can put this solution on YOUR website!
determine the quadratic function f whose graph is given. The vertex is (1,-1) and the other given point is (2,1)
Vertex form of parabolic equation: y+=+a%28x+-+h%29%5E2+%2B+k
Substitute (1, - 1) for (h, k) and (2, 1) for (x, y). You should get a value of 2 for a, which leads to the following equation, in vertex form: highlight_green%28f%28x%29+=+2%28x+-+1%29%5E2+-+1%29