Rewrite the quadratic function in vertex form (which our OpenStax textbook also calls the standard form) and give the vertex.

it represents the rectangle.

Step-by-step explanation:

if you look the x coordinates of first two points, they are same.

Again same case is in the x coordinates of last two points.

It means two sides of figure are equal and exactly facing each other at the same position after some intervals or distance.

Similarly, in y coordinates of first two points,

they are not same but their difference is 3.

And the same difference is in the y coordinates of last two points.

It means again the two sides are equal and are at the same position after some distance.

In this way, it is a rectangle.