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

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Answer 1 · 2016-12-22T21:34:06

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

$y$ -intercept:

$x = 0$

$|x+3| = 0+3$
$= 3$

$|x+3|-2=3-2=1$

$y$ -intercept: $1$

$x$ -intercept:

$y=0$

$|x+3|-2 = 0$

$|x+3|=2$

$x+3 = 2 or -2$

$x$ -intercept: $-1 or -5$

the axis of symmetry on the graph is the vertical line $x = -3$ .

How do you graph y = | x + 3| -2y = | x + 3| -2?