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- Illustrates how can a curve cross one of its horizontal asymptotes many times?Find the orthogonal trajectories for the family of curves. Use a graphing utility to graph several members of each family x3 = CySuppose the graph of f(x) = x3is compressedvertically using a factor of 1/3and then shifted to theleft 5 units. What is the equation of the new graph?Verify the result graphically.