Question

using the graph, determine the coordinates of the vertex of the parabola.

Explanation:

Step1: Recall vertex definition

The vertex of a parabola is its minimum (for upward - opening parabola) or maximum (for downward - opening parabola) point. For the given upward - opening parabola, we need to find the point with the lowest \(y\) - coordinate.

Step2: Identify the vertex from the graph

Looking at the graph, we can see that the parabola reaches its minimum point at \(x = 3\) and \(y=-4\). So we determine the coordinates of the vertex by looking at the intersection of the horizontal and vertical grid lines at the lowest point of the parabola.

Answer:

\((3, - 4)\)