Question

Identify the vertex on the graph.

(1 point)
Responses

(−5,0)
left parenthesis negative 5 comma 0 right parenthesis

(5,0)
left parenthesis 5 comma 0 right parenthesis

x=−5
x equals negative 5

(0,−5)

Answer 1

To identify the vertex on the graph, we typically need more context, such as the equation of a quadratic function or a description of the graph itself. However, based on the options provided, the point that seems likely to be the vertex (especially if we are discussing a parabola) is usually given in coordinates (x, y).

If the vertex is indeed among the options, we need to identify it based on the provided coordinates. Without additional context, I can't definitively determine the vertex; however, I can advise you that the vertex for a parabola expressed in standard form \(y = ax^2 + bx + c\) can be found using the vertex formula \(x = -\frac{b}{2a}\).

Based on your options:

- (−5,0) – This point could be a vertex if it represents the minimum or maximum point in a parabola.
- (5,0) – This point might represent an intercept rather than a vertex.
- x=−5 – This is a vertical line, not a point.
- (0,−5) – This point might also not represent a vertex unless the graph indicates otherwise.

If you are looking for a single point that represents the vertex and based on common vertex characteristics, I would choose (−5,0) as the likely vertex.

If you can provide further context, such as the equation of the graph or additional details, I could help you more accurately determine the vertex!