Answer:
a < -1
Explanation:
The question is asking what coefficient a could possibly be. By comparing the blue and red parabolas, it can be observed that the red parabola has been flipped and vertically stretched. Let's break this down.
First, in order for the red parabola to mirror the blue parabola, it needs the opposite sign. The blue parabola's coefficient is positive. In order to mirror this, the red parabola's coefficient will need to be negative.
Lastly, the red parabola has been stretched. In order for the red parabola to stretch, its coefficient has to be greater than 1.
In conclusion, the red parabola needs to be negative and have a value greater than 1. Therefore, the answer is a < -1.