Question

Brian is solving an equation where both sides are quadratic expressions. He graphs the expressions and finds that the two graphs share a common vertex, but one graph opens upward and the other opens downward. How should Brian interpret this outcome?

Answer 1

Answer: A

Step-by-step explanation: There is exactly 1 intersection point

Answer 2

By equating both quadratic equations, Brian can determine the point of intersection of both equations. Upon graphing he was able to identify that both share the same vertex but of opposite opening. Based on this, he can say that both equations are equations of parabolas with same vertex but open on different directions.