Question

Tiffany is solving an equation where both sides are quadratic expressions. She sets each quadratic equation equal to y and graphs the resulting system. If the graph of one quadratic opens upward and the other opens downward, what is the greatest possible number of intersections for these graphs?

Answer 1

c

Explanation:

Answer 2

Explanation:

There are 3 possibilities for the graph as shown in the figure.

(a) having zero intersection

(b) having one intersection point (touching point)

(c) having two intersection points.

So, the greatest possible number of intersections for these graphs is 2 as shown in figure (c).