Question

find the coordinates for the vertex of the following quadratic function.

Explanation:

Step1: Identify the vertex on the graph

The vertex of a parabola is the minimum (for upward - opening parabolas) or maximum (for downward - opening parabolas) point. In this graph, the parabola opens upwards, so we are looking for the lowest point.
Looking at the graph, we can see that the lowest point (vertex) has an x - coordinate of - 2 and a y - coordinate of 2.

Answer:

The coordinates of the vertex are \((-2, 2)\)