Write the equations after translating the graph of y = | 1/2 x−2|+3 one unit up

Mathematics · College · Thu Feb 04 2021

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To translate the graph of an equation one unit up, you simply need to add 1 to the function's value. Since the original equation is:

y = | 1/2 x−2 | + 3

To move this entire graph up by one unit, you would add 1 to the y value. Thus, the new equation will be:

y = | 1/2 x−2 | + 3 + 1

y = | 1/2 x−2 | + 4

So, the translated equation after moving the graph one unit up is:

y = | 1/2 x−2 | + 4