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Graph the function by hand, not by plotting points, but by starting with the graph of one of the standard functions given in Section 1.2, and then applying the appropriate transformations.

$ y = \mid x - 2 \mid $

$y=|x-2|=$ Start with the graph of

$y=|x|$ and shift 2 units to the right.

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Harvey Mudd College

Baylor University

University of Nottingham

Idaho State University

to grab this function will start by looking at the graph of the standard function Y equals the absolute value of X. So that's your basic V shaped curve. It has a vertex at 001 line with a slope of 11 lying with a slope of negative one. Now what happens to it? If we subtract two from X, we shift the whole Graf right to so that will look like we need to take that vertex and shifted to the right to and that will look like this. Still have a slope of one over there still have a slope of negative one over there.