Question

look at this graph:
what are the coordinates of the vertex?

Explanation:

Step1: Identify the vertex definition

The vertex of a parabola is its highest or lowest point; for this downward-opening parabola, it is the maximum point, located at the intersection of the axis of symmetry (the y-axis, $x=0$) and the parabola.

Step2: Locate the point on the graph

The parabola intersects the origin, where $x=0$ and $y=0$.

Answer:

$(0, 0)$