exam Maths Puzzle Numerical Ability

Vertex (h,k) of the quadratic functionf(x)=a(x-h)^2+k is (1,2) and the y intercept is (0,1)
find the quadratic function
what is the maximum value of the function?

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exam Other Question

Solve the problem 3/2x+1 = 7/6x-3. Graph y=3x^2-5x-9. Also find the vertex