The vertex of a quadratic graph refers to the highest or lowest point of the graph. The y-intercept refers to the point where the graph touches the y-axis. These are shown in the image below:
From the graph provided in the question, the vertex corresponds to the highest point in the graph.
The coordinates of the vertex are:
[tex](2,1)[/tex]The graph cuts the y-axis at y = -3.
The coordinates of the y-intercept are:
[tex](0,-3)[/tex]