How do you solve the following questions about the graph of the eight curve, x^4=a^2(x^2-y^2), a≠0?

a.) Explain how you could use a graphing utility to graph this curve.

b.) Use a graphing utility to graph the curve for various values of the constant a. Describe how a affects the shape of the curve.

c.) Determine the points on the curve where tangent line is horizontal.

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