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## Homework Statement

Find a quadratic function f(x), that satisfies the given conditions: f(1) = 2,

f(-1) = 4, f(3) = 8.

Thanks

## Homework Equations

f(x) = k(x-s)(x-t)

## The Attempt at a Solution

I tried entering the points as the the x and f(x) while estimating as what the zeroes would be and seeing if k values would be the same but it did not work.

I am pretty sure that the first zero is 2 < x < 4, and the second zero is 4 < x < 8. But I have no idea where to go now. Any help would be greatly appreciated.

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