The equation for cross-section is .

(a)

Find the intercepts.

Find the -intercept by substituting in the equation.

-intercept is .

Find the -intercept by substituting in the equation .

Since the solutions are imaginary, there is no -intercept.

Intercept is.

(b)

Test algebraically symmetric with respect to the -axis:

Substitute for in .

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

Test algebraically symmetric with respect to 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.

(a) Intercept is.

(b) -axis symmetry.