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2-71.

Think about how you might sketch a parabola on a graph.   Homework Help ✎2-71 image of a parabola

  1. Do the sides of a parabola ever curve back in like the figure at right? Explain your reasoning.

    No, because there is only one -value for every -value in a parabola.

  2. Do the sides of the parabola approach straight vertical lines as shown in the figure at right? (In other words, do parabolas have asymptotes?) Give a reason for your answer.

    The domain of a parabola is all real numbers, so the graph must extend all the way left and right. Hence it never goes straight up.