exam Maths Puzzle Numerical Ability

what is the equation for finding the vertex to y=(1/4)(x^2-2x+5)

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exam Other Question

solve for x.
1(x-2)=3(x+2)-6x(x squared +4) Why is the following reason invalid?
we know that in a plane, two lines parallel to the same line are parallel to each other. Therefore, if AP is parallel to L and BP is parall