How do you graph $y = | x + 4 |$ $y= |x+4|$ by plotting points?

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Answer 1 · 2017-10-11T06:28:38

see below...

graph{y=abs(x+4) [-14.33, 5.67, -1.52, 8.48]}

Pick $x$ $x$ -values that put a negative inside the absolute value...

Like : (note how the $x$ $x$ value changes... $- 8, - 6, - 4, - 2$ $-8, -6, -4, -2$ ...You can choose the pattern of your choice...)

$y = | - 8 + 4 | = | - 4 | = 4 \to (- 8, 4)$ $y=abs(-8+4)=abs(-4)=4->(-8,4)$
$y = | - 6 + 4 | = | - 2 | = 2 \to (- 6, 2)$ $y=abs(-6+4)=abs(-2)=2->(-6,2)$
$y = | - 4 + 4 | = | 0 | = 0 \to (- 4, 0)$ $y=abs(-4+4)=abs(0)=0->(-4,0)$
$y = | - 2 + 4 | = | 2 | = 2 \to (- 2, 2)$ $y=abs(-2+4)=abs(2)=2->(-2,2)$
$y = | 0 + 4 | = | 4 | = 4 \to (0, 4)$ $y=abs(0+4)=abs(4)=4->(0,4)$
$y = | 2 + 4 | = | 6 | = 6 \to (2, 6)$ $y=abs(2+4)=abs(6)=6->(2,6)$

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How do you graph y=|x+4|y= |x+4| by plotting points?