# How do you graph #g(x) = abs(2 + x) - 1#?

##### 2 Answers

g(x)=y= |2+1| - 1 , you might know! graph{g(x)=2 lx+2l -4 [-2.732, 2.744, -1.366, 1.372]}

#### Explanation:

To plot a graph, we need the coordinates. For 2D graph, like your problem, we need x coordinate and y coordinate .

Your given function is g(x)= | 2+x | -1 . You might know g(x) is the function of "x". This means its the thing which determines the "y" coordinate for each value of x . So you can write g(x)=y=| 2+x | -1.

Now its just piece of cake. Take the values of x (as you wish!). Take at least 2 values, so you will have "two points" and you can draw a "straight line" , which is your desired graph of the function.

Here's the example :

1. If x=0 , g(x)=y= | 2+0 |-1= 2-1 = 1 . So 1st point A(0,1)

2. If x=1 , y=|2+1| -1= 2. So 2nd point B(1,2)

Now plot them in the graph , add them (don't extend the line. just add the points with a line )

- If x=-1, y=|2+(-1)| -1=0 . Point 3 C(-1,0)

Now you plot it. You must've noticed that its colinear with the previous points.

Two points was enough. Then why we took 3 points? - To be sure that we're correct with our calculations. And as you take more negative values of x, the graph will **bump up** again and continue in the 2nd quadrant. So the the graph will be "V" shape.

Its important while you work with many weird looking functions .

Now can you tell me what will be the graph of this function ?

f(x)= |x|

What's the difference between g(x) and f(x) ?

The graph will have a V shape.

#### Explanation:

Substitute

Determine points on the graph by substituting positive and negative values for

Plot the points. The graph will have a V shape. Draw straight lines through the points on both halves of the graph.

graph{y=abs(2+x)-1 [-10, 10, -5, 5]}