Very well explained with clear images. One shortcut, if you can call it that is to recognize that x^2+2 is merely a translation of x^2. Of course, if you wish to be more careful, a table is the way to go.
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thank you so much for visiting my post @drdawud... steemit is best for learning and improvement... my post is more on basic math for my junior class so need extra cautious from time to time😊