How do you graph y=abs(x+1) using a table?

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Explanation:

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Dec 20, 2017

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Explanation:

You really only need three points to graph an absolute value equation from a table: the vertex and then a point to the left and another to the right. I usually make those two points equidistant from the vertex.

To find the $x$-coordinate of the vertex take whatever is in the absolute value, set it equal to zero, and solve.

$x + 1 = 0 \setminus \rightarrow x = - 1$.

So for my table I'll use $x = - 1$, $x = 0$, and $x = - 2$, because $0$ and $- 2$ are both 1 unit from $- 1$. We put them in order in the table:

$x = - 2 \setminus \rightarrow y = | - 2 + 1 | = | - 1 | = 1$
$x = - 1 \setminus \rightarrow y = | - 1 + 1 | = 0$
$x = 0 \setminus \rightarrow y = | 0 + 1 | = 1$

Now plot the points and connect them with the correct shape (a V with the vertex at $\left(- 1 , 0\right)$).

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