exam Maths Puzzle Numerical Ability

i need explanation on the following if someone can help me understand the steps to these problems they are all but one in the back of the book but i want to understand them i have

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exam Other Question

Solve:

|x^2 - 6x + 123| = -2
I am in need of help:I am lost on these.

Graph the quadratic after completeing the given table value. Y=x^2+2

and

Graph the quadratic after completeing the given table value. y=x^2+2x-3


Thanks a miilion