Use the image to answer the question.

To identify the vertex of the parabola, we need to look for the point where the parabola reaches its maximum or minimum. Without seeing the graph, I can only suggest that the vertex would typically be the point with the lowest or highest value of y for the given x-values.

From the options you provided:

- (0,−5)
- (−5,0)
- x=−5
- (5,0)

If the graph is a standard upward or downward opening parabola, the vertex is often one of the given coordinate points.

If you see the parabola rising from the left and falling to the right, the vertex will be at its lowest point (for a minimum) or highest point (for a maximum).

Among the provided responses, if we assume that the y-values look like they reach their peak or trough around (0,−5), that might be your answer.

However, based on just the information provided and common vertex forms, if the parabola opens upwards, the vertex is likely to be around (0,−5). If it opens downwards, it could be (−5,0).

Without the image, I would suggest selecting (0,−5) if you see the lowest point at that coordinates, assuming the parabola opens upward. If it opens downward and (−5,0) is a peak point, then that would be the answer.

In conclusion, based on typical vertical parabolas:
- If the y-value reaches its lowest around x=0, choose (0,−5).
- If it peaks around x=−5, choose (−5,0).

You might want to choose based on your visual assessment of the graph. If you provide more context about the graph, I can narrow it down further!