Pre-Calculus, 9th edition
55

 PAGE: 18 SET: Exercises PROBLEM: 55

The equation is .

Find the -intercept by substituting in the equation.

-intercept is .

Find the -intercept by substituting in the equation.

Take square root each side.

or

The equation has two solutions and .

-intercepts are and.

Test algebraically symmetric with respect the -axis:

Substitute for in .

Because is equivalent to , the graph is symmetric with respect to the -axis.

Test algebraically symmetric with respect the -axis:

Substitute for in .

Because  is not equivalent to , the graph is not symmetric with respect to the -axis.

Test algebraically symmetric with respect to the origin:

Substitute for and for in .

Because  is not equivalent to , the graph is not symmetric with respect to the origin.

Intercepts are , and.

Symmetric with respect to the -axis.

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