Find a quadratic function f(x), that satisfies the given conditions: f(1) = 2,
f(-1) = 4, f(3) = 8.
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.