exam Maths Puzzle Numerical Ability

I am having trouble graphing a parabola not centered at the origin (0,0). I also do not know how to find the vertex and focus.

The problem is (y-4)^2 = 3(x+2)

I think I fo

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exam Other Question

I think I have the answer to this problem, but I am not sure. Can someone please check my work?

Given f(x)=5x^2-3x+1, find f(-2):

I got 27, is this correct?

Thank you for your help!
How do you use vertex edge graphs?