Answer
See below.
Work Step by Step
We have been noticing the following points:
1. The sign of the leading coefficient is negative.
2. The degree of the leading coefficient is $2$ which is even.
3. The points above lead to the conclusion that the polynomial falls to the left which describes the left-hand behavior of the sketch.
4. Steps 1 and 2 lead to the conclusion that the polynomial falls to the right which describes the right-hand behavior of the sketch.
