Make a table of values for the equation. Then graph the equation.|x+2|-4
To create a table of values for the equation |x+2|-4, we will substitute different values of x into the equation and calculate the corresponding y-values.
Let's choose a range of x-values to work with. For simplicity, we will use x-values from -5 to 5.
x | |x+2|-4
--------------
-5 | 13
-4 | 8
-3 | 3
-2 | 0
-1 | 1
0 | 4
1 | 3
2 | 0
3 | 3
4 | 8
5 | 13
Now, let's graph the equation. We will plot each point from the table of values on a coordinate plane and then connect them to create a line.
Here is the graph of the equation |x+2|-4:
```
|
14| .
| .
13| .
| .
12| .
| .
11| .
| .
10| .
| .
9| .
| .
8| - .
7| .
6| .
5| .
| .
4| .
| .
3| .
| .
2| .
1| .
0| .
-1| .
-2| .
-3| .
-4|.
|
--|-------------
| -5 -4 -3 -2 -1 0 1 2 3 4 5
```
The graph consists of several connected points that form a "V" shape. The vertex of the "V" is at (-2, -4), which is the point where the absolute value function changes direction.
To create a table of values for the equation |x+2|-4, we can choose various values for x and find the corresponding values of y.
Let's start with x = -4:
|(-4) + 2| - 4 = 0 - 4 = -4
So when x = -4, y = -4.
Next, let's try x = -2:
|(-2) + 2| - 4 = 0 - 4 = -4
When x = -2, y = -4.
For x = 0:
|(0) + 2| - 4 = 2 - 4 = -2
So when x = 0, y = -2.
For x = 2:
|(2) + 2| - 4 = 4 - 4 = 0
When x = 2, y = 0.
Lastly, let's take x = 4:
|(4) + 2| - 4 = 6 - 4 = 2
When x = 4, y = 2.
Now, let's plot these points on a graph:
x | y
---------
-4 | -4
-2 | -4
0 | -2
2 | 0
4 | 2
Now you can plot these points on a graph and connect them to get a visual representation of the equation |x+2|-4.
To create a table of values for the equation |x+2|-4, we can substitute different values for x and calculate the corresponding y-values.
Let's choose a few values for x and find the corresponding y-values:
When x = -4:
|(-4)+2| - 4 = 2 - 4 = -2
So the point (-4, -2) is on the graph.
When x = -2:
|(-2)+2| - 4 = 0 - 4 = -4
So the point (-2, -4) is on the graph.
When x = 0:
|(0)+2| - 4 = 2 - 4 = -2
So the point (0, -2) is on the graph.
When x = 2:
|(2)+2| - 4 = 4 - 4 = 0
So the point (2, 0) is on the graph.
When x = 4:
|(4)+2| - 4 = 6 - 4 = 2
So the point (4, 2) is on the graph.
Now, let's plot these points on a graph:
x | y
--------
-4 | -2
-2 | -4
0 | -2
2 | 0
4 | 2
Now we can graph the equation by connecting these points with a smooth curve:
Here is the graph of the equation |x+2|-4:
```
|
-6 | |
| /
|
-4 | - -
|
-2 | - - |
|
0 | -
|
2 | |
|
4 |
-2-1 0 1 2 3 4 5 6
```
This graph represents the equation |x+2|-4.