vertex= (1,-1) and the other given point is (3,7)

If the vertex is at (1,-) then we have a parabola whose basic form must be

y = A(x-1)^2 - 1

Since the other point is (3,7), then we can find A by plugging in the values

7 = A(3-1)^2 - 1

7 = A(2)^2 - 1

7 = 4A - 1

4A = 8

A = 2

So, the final quadratic function is f(x) = 2(x-1)^2 - 1

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