Answer
The graph is attached.
Work Step by Step
This function is in the form $a(x-p)(x-q)$. We know that the axis of symmetry is $\frac{p+q}{2}$. We also know that p and q are the x coordinates of the x intercepts. Also, we know that $a$ determines how steep the curve is, and we know that if $a$ is positive, the graph faces up, while if $a$ is negative, the graph faces down.
Note, in the given graph, the axis of symmetry is the purple line, and the black point is the vertex.
The x-intercepts are the red and blue points.
![](https://gradesaver.s3.amazonaws.com/uploads/solution/2439db39-bc2f-4ac9-a5f8-c4c3852cca47/steps_image/small_1561056590.jpg?X-Amz-Algorithm=AWS4-HMAC-SHA256&X-Amz-Credential=AKIAJVAXHCSURVZEX5QQ%2F20240727%2Fus-east-1%2Fs3%2Faws4_request&X-Amz-Date=20240727T020211Z&X-Amz-Expires=900&X-Amz-SignedHeaders=host&X-Amz-Signature=4219993c09ea80e079029b9b560311b3a63cfb416cd7ebbb84b1bd3c118f8896)