Question

I was asked to deduce the values of a,b, and c for the parabola y= ax^2 + bx +c. There are 4 clues given:
1. the y-intercept is (0,6)
2. The curve goes through (4,5)
3. The curvev has a turning point at (2,3)
4. the line of symmetry is x=1
Questions: It is not possible for all clues to be true together (Why not?)
Which combinations of clues enable you to find a set of values for a,b and c?
Find the resulting parabola for each successful combination.
Tq..