Identify the vertex on the graph.

(1 point)
Responses

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

x=−5
x equals negative 5

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

(0,5)

1 answer

To identify the vertex of a graph, we need to know the type of graph we are dealing with, typically a quadratic function represented in the form \( y = ax^2 + bx + c \). The vertex of this parabola can be found using the formula for the x-coordinate of the vertex:

\[ x = -\frac{b}{2a} \]

Then, substitute this value back into the original equation to find the y-coordinate.

However, since we do not have a specific equation to work with, I can still identify the vertex based on your provided options.

  • (0, −5)
  • (−5, 0)
  • (0, 5)
  • x = −5

Based on these points, the only points that represent vertex coordinates are (0, −5) and (−5, 0). The option x = -5 does not represent a vertex as it is a vertical line.

If you have a specific equation or context in mind, please provide more details, and I can assist you further! Otherwise, for the options you provided, the vertex points can be (0, −5) or (−5, 0).