Question

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) or maximum (for downward - opening) point. For the given upward - opening parabola, we need to find the point where it changes direction.

Step2: Identify Coordinates from Graph

Looking at the graph, the parabola touches the x - axis at a point. By observing the grid, the x - coordinate of the vertex is 6 (since it's at x = 6 on the horizontal axis) and the y - coordinate is - 1 (since it's at y=-1 on the vertical axis).

Answer:

The coordinates of the vertex are \((6, - 1)\)