Find the Symmetry |x|+|y|=6


Step 1
There are three types of symmetry:
1. X-Axis Symmetry
2. Y-Axis Symmetry
3. Origin Symmetry

Step 2
If exists on the graph, then the graph is symmetric about the:
1. X-Axis if exists on the graph
2. Y-Axis if exists on the graph
3. Origin if exists on the graph

Step 3
Check if the graph is symmetric about the -axis by plugging in for .

Step 4
Make positive.

Step 5
Since the equation is identical to the original equation, it is symmetric to the x-axis.
Symmetric with respect to the x-axis

Step 6
Check if the graph is symmetric about the -axis by plugging in for .

Step 7
Make positive.

Step 8
Since the equation is identical to the original equation, it is symmetric to the y-axis.
Symmetric with respect to the y-axis

Step 9
Check if the graph is symmetric about the origin by plugging in for and for .

Step 10
Simplify each term.

Make positive.
Make positive.

Step 11
Since the equation is identical to the original equation, it is symmetric to the origin.
Symmetric with respect to the origin

Step 12
Determine the symmetry.
Symmetric with respect to the x-axis
Symmetric with respect to the y-axis
Symmetric with respect to the origin

Step 13


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