# Find the Symmetry y = ninth root of x

There are three types of symmetry:
1. X-Axis Symmetry
2. Y-Axis Symmetry
3. Origin Symmetry
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
Check if the graph is symmetric about the x-axis by plugging in for .
Remove parentheses.
Since the equation is not identical to the original equation, it is not symmetric to the x-axis.
Not symmetric to the x-axis
Check if the graph is symmetric about the y-axis by plugging in for .
Simplify.
Remove parentheses.
Simplify .
Rewrite as .
Rewrite as .
Rewrite as .
Pull terms out from under the radical.
Raise to the power of .
Since the equation is not identical to the original equation, it is not symmetric to the y-axis.
Not symmetric to the y-axis
Check if the graph is symmetric about the origin by plugging in for and for .
Solve for .
Simplify.
Remove parentheses.
Simplify .
Rewrite as .
Rewrite as .
Rewrite as .
Pull terms out from under the radical.
Raise to the power of .
Simplify .
Remove parentheses.
Remove parentheses.
Simplify .
Rewrite as .
Rewrite as .
Rewrite as .
Pull terms out from under the radical.
Raise to the power of .
Simplify .
Remove parentheses.
Multiply .
Multiply by .
Multiply by .
Simplify .
Rewrite as .
Rewrite as .
Rewrite as .
Pull terms out from under the radical.
Multiply by by adding the exponents.
Move .
Multiply by .
Raise to the power of .
Use the power rule to combine exponents.