Question

Graph the absolute value function

Answer 1

The given absolute value function is $y=|x+2|$

Rewriting the function in the standard form $y=|mx+b|+c$

We get $y=|1x+2|+0$

On comparing, we get $m=1$ , $b=2$ and $c=0$

The absolute value function is in the shape of "V" with a vertex which is the central point.

The vertex can be found as $V=(-rac{b}{m},c)=(-rac{2}{1},0)=(-2,0)$

Therefore the point is the central point (vertex) of the function.

We plot the vertex on the graph and then we take the values on the left and right of this point at equal distances.

The table of values for the graph is given below

	-3	-2	-1	0	1	2	3
	1	0	1	2	3	4	5

The above points can be plotted on a graph as shown below

(0,2) -6 -5 -3