Question

look at this graph: graph of a parabola what are the coordinates of the vertex? (\boxed{ }, \boxed{ })

Explanation:

Step1: Identify the vertex on the graph

The vertex of a parabola is the lowest (for upward - opening parabola) or highest (for downward - opening parabola) point. From the given graph, we can see that the parabola opens upwards, and the lowest point (vertex) has an x - coordinate and a y - coordinate. By looking at the grid, we can see that the x - coordinate of the vertex is - 2 (since it is 2 units to the left of the origin on the x - axis) and the y - coordinate is - 5 (since it is 5 units below the origin on the y - axis).

Step2: Confirm the coordinates

We check the position of the vertex on the coordinate plane. The x - value (horizontal position) is - 2 and the y - value (vertical position) is - 5. So the coordinates of the vertex are \((-2,-5)\).

Answer:

\((-2,-5)\)