How do you graph $y = | x + 5 | + 6$ $y =abs( x + 5)+ 6$ ?

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How do you graph $y = | x + 5 | + 6$ $y =abs( x + 5)+ 6$ ?

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Answer 1 · 2018-07-15T02:38:23

Below

Explanation:

$y = | x |$ $y=absx$ is an absolute value graph with the vertex at $(0, 0)$ $(0,0)$
graph{absx [-10, 10, -5, 5]}

$y = | x + 5 |$ $y=abs(x+5)$ is the same as $y = | x |$ $y=absx$ but shifted to the left by $5$ $5$ units so the vertex is $(- 5, 0)$ $(-5,0)$
graph{abs(x+5) [-10, 10, -5, 5]}

$y = | x + 5 | + 6$ $y=abs(x+5)+6$ is the $y = | x + 5 |$ $y=abs(x+5)$ graph shifted up by $6$ $6$ units so the vertex is $(- 5, 6)$ $(-5,6)$
graph{abs(x+5)+6 [-36.53, 36.52, -18.27, 18.26]}

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How do you graph $y = | x + 5 | + 6$ $y =abs( x + 5)+ 6$ ?

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Science

Math

Humanities

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How do you graph y=|x+5|+6y =abs( x + 5)+ 6?

1 Answer

Explanation:

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Impact of this question

How do you graph $y = | x + 5 | + 6$ $y =abs( x + 5)+ 6$ ?