Write the polynomial as an equation.

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 the expression.

Multiply by .

Move the negative in front of the fraction.

Factor out of .

Rewrite as .

Factor out of .

Simplify the expression.

Rewrite as .

Move the negative in front of the fraction.

Multiply by .

Multiply by .

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 .

Simplify .

Simplify the expression.

Multiply by .

Move the negative in front of the fraction.

Factor out of .

Rewrite as .

Factor out of .

Simplify the expression.

Rewrite as .

Move the negative in front of the fraction.

Multiply by .

Multiply by .

Remove parentheses.

Simplify .

Simplify the expression.

Multiply by .

Move the negative in front of the fraction.

Factor out of .

Rewrite as .

Factor out of .

Simplify the expression.

Rewrite as .

Move the negative in front of the fraction.

Multiply by .

Multiply by .

Multiply .

Multiply by .

Multiply by .

Simplify .

Multiply by .

Move the negative in front of the fraction.

Multiply .

Multiply by .

Multiply by .

Factor out of .

Rewrite as .

Factor out of .

Rewrite negatives.

Rewrite as .

Move the negative in front of the fraction.

Since the equation is not identical to the original equation, it is not symmetric to the origin.

Not symmetric to the origin

Determine the symmetry.

Not symmetric to the x-axis

Not symmetric to the y-axis

Not symmetric to the origin

Find the Symmetry (2x)/(x-2)