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6th Edition

Stewart + 5 others

Publisher: Cengage Learning

ISBN: 9780840068071

Chapter 1.8, Problem 122E

To determine

**To graph**: The figure provided below such that it is symmetric with respect to x -axis.

Expert Solution

**Given information**:

The unsymmetrical graph is provided below,

**Graph**:

Reflect the provided graph about the x -axis such that the x -coordinate of each point remains the same and y -coordinate becomes negative.

The complete graph such that it is symmetric with respect to x -axis is provided below,

**Interpretation**:

Graph of the equation is symmetric with respect to x -axis means that graph is not changed when reflected about the x- axis.

The graph of an equation is symmetric about the x -axis, when y is replaced by

To determine

**To graph**: The figure provided below such that it is symmetric with respect to y -axis.

Expert Solution

**Given information**:

The unsymmetrical graph is provided below,

**Graph**:

Reflect the provided graph about the y -axis such that the x -coordinate of each point becomes negative and y -coordinate remains the same.

The complete graph such that it is symmetric with respect to y -axis is provided below,

**Interpretation**:

Graph of the equation is symmetric with respect to y -axis means that graph is not changed when reflected about the y- axis.

The graph of an equation is symmetric about the y -axis, when x is replaced by

To determine

**To graph**: The figure provided below such that it is symmetric with respect to origin.

Expert Solution

**Given information**:

The unsymmetrical graph is provided below,

**Graph**:

Reflect the provided graph about the origin such that the x -coordinate of each point becomes negative and y -coordinate also becomes negative.

The complete graph such that it is symmetric with respect to origin is provided below,

**Interpretation**:

Graph of the equation is symmetric with respect to origin means that graph is not changed when rotated

The equation is symmetric with respect to origin, when y is replaced by