How do you graph $y = | x + 2 | - 3$ $y=abs(x+2)-3$ ?

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Answer 1 · 2017-05-02T07:22:33

see explanation

graph{y=|x+2|-3 [-10, 10, -5, 5]}

To find the points on a graph, plug in the $x$ $x$ values to get the matching $y$ $y$ values. For example:

$y = | (1) + 2 | - 3$ $y=|(1)+2|-3$
$y = | 3 | - 3$ $y=|3|-3$
$y = 0$ $y=0$
point: $(1, 0)$ $(1,0)$

$y = | (- 4) + 2 | - 3$ $y=|(-4)+2|-3$
$y = | - 2 | - 3$ $y=|-2|-3$
$y = - 1$ $y=-1$
point: $(- 4, - 1)$ $(-4,-1)$

How do you graph y=|x+2|−3y=abs(x+2)-3?