exam Maths Puzzle Numerical Ability

Find the domain of the rational function:
f(x) = (2x^2 - 4) / (3x^2 + 6x - 45)

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exam Other Question

Graph 3x-y=4 How would I go about writing the quadratic function, in (standard) form, which has a vertex of (-6, 2) and passes through (5, 12)?

The standard form is y= a(x-h)^2+k , so i would put -6 as h and 2 as k but from there I am stuck.