exam Maths Puzzle Numerical Ability

Im having trouble graphing this one too. I think it is the formula for a parabola but my process must be a little mixed up because it just isnt working out for me at all. I would appreciate any help.
Kyle

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exam Other Question

1)three of the vertices of a parellelogram ABCD are A(-3,1),B(4,9)and C(11,-3)Find
a)the mid-point of the diagonal AC;
b)the fourth vertex D;
C)the length of the diagonal AC;
d
Please help me factor the polynomial. Thanks

3a^2-12a+12