Question

Use the image to answer the question. Identify the vertex on the graph.



(1 point)
Responses

(5, 0)
(5, 0)

(-5, 0)
(-5, 0)

x = -5
x = -5

(0, -5)

Answer 1

The vertex highest point is -5 and both ends go out of view from the bottom left to the bottom right.

Answer 2

Without the image, I cannot directly identify the vertex on the graph. However, the vertex of a parabolic graph typically has coordinates in the form of (h, k) where the equation is in the vertex form \(y = a(x-h)^2 + k\).

In general, if your graph represents a quadratic function and you're looking for the vertex, it might be given as one of the options:

- (5, 0)
- (-5, 0)
- x = -5
- (0, -5)

To determine which option represents the vertex, look for specific characteristics typical of a parabola:

1. The vertex will be the highest or lowest point on the graph, depending on whether it opens upwards or downwards.
2. The vertex form of a quadratic equation will often give you the vertex directly.

If you can describe the graph or provide the equation it's based on, I can help you identify the vertex more accurately.

Answer 3

Based on your description, it sounds like you have a downward-opening parabola, indicating that the vertex is the highest point on the graph. If the vertex is at the coordinate where the y-value is -5, the x-coordinate must be equal to the x-value at that vertex.

Since you mentioned that the highest point (the vertex) is -5, it suggests that the coordinates of the vertex might be in a form like (x, -5).

Looking at the options you provided:

- (5, 0)
- (-5, 0)
- x = -5
- (0, -5)

The choice that corresponds to a vertex with a y-coordinate of -5, and matches the nature of your graph, would be **(0, -5)**.

So, the correct answer for the vertex is:

**(0, -5)**.