book Maths Puzzle Numerical Ability

I need to know how to write a quadratic equation into a vertex equation. I need a step-by-step visaul answer. I don't care what the equation is i just need to know how to do it!

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book Other Question

find the midpoint and length (to the nearest hundredreth) of the line segment between the points P sub 1 (4,6) and P sub 2 (-2, 1) 2x/3 (3x + 4) = 1