Question

identify the vertex.
(-4,0)
(2,0)
(0,-5)
(-2,0)

Explanation:

Step1: Recall the definition of the vertex of a parabola

The vertex of a parabola is the point where the parabola changes direction. It is either the minimum (for a parabola opening upwards) or the maximum (for a parabola opening downwards) point on the parabola.

Step2: Analyze the given graph

Looking at the graph, we can observe that the parabola opens to the right. The vertex is the "tip" of the parabola.

Step3: Determine the coordinates of the vertex

By examining the graph, we can see that the vertex is at the point \((- 2,0)\)

Answer:

\((-2,0)\)