As you have seen, sometimes a parabola and a line never intersect. However, if a parabola and a line do intersect, how many different intersection points can they have? How many intersections can two parabolas have? Do two parabolas always intersect? On graph paper, sketch a graph that fits each description below. Not every graph is possible. As you graph, consider the questions above. a. A line and a parabola that intersect twice.
b. A line and a parabola that intersect once.
c. A line and a parabola that intersect more than twice. d. Two parabolas that intersect twice.
e. Two parabolas that have an infinite number of intersections.
f. Two parabolas that never intersect.
g. Two parabolas that only intersect once.