### Home > CCA2 > Chapter 2 > Lesson 2.1.5 > Problem 2-71

2-71.

Think about how you might sketch a parabola on a graph.

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.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.