exam Maths Puzzle Numerical Ability

My problem is if the vertex of f(x)=x^2+bx+c is at (2,4), find b and c.

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exam Other Question

how do i solve the following equation for values of x in the range
0 degrees < x <360 degrees

6sin^2 x - sinx - 2 = 0
State the domain of the following:
h(x)=3x^2+5x-3

m(x)=3/x^2+7
Any suggestions?