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a parabola with turning point at (1,-2) and passing through the origin.find the equation of this parabola.

how do i do this? can someone please show me how to solve it step by step?thanks!

You know that at x = 0 the function is zero. Because the turning point is at
x = 1 must be in the middle of the two zeros of the function, the other zero is at x = 2.

Therefore the function is of the form:

y = A(x - 0) (x - 2) = Ax(x-2)

Solve for A by demanding that at x = 1 y = -2

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