Identify the vertex on the graph. (1 point) Responses
(0,−5)
(5,0) l
(−5,0)
x=−5
clearly wrong.
The simplest case would be y = 1/5 (x-5)(x+5)
so the vertex is at (0,-5)
Apologies for the incorrect response. You are correct. The vertex of the quadratic function y = 1/5 (x-5)(x+5) is indeed (0,-5).
To identify the vertex of a graph, you need to look at the coordinates provided. The vertex is the point where the graph reaches its maximum or minimum point, depending on the shape of the graph.
In this case, you have four options for the vertex: (0,−5), (5,0), (−5,0), and x=−5.
To identify the vertex, you need to determine which point represents the highest or lowest point on the graph.
If you have a graph plotted with x and y coordinates, you can visually identify the highest or lowest point. In this case, without a specific graph given, we can't visually determine the vertex.
However, if you have an equation representing a graph, you can use some techniques to find the vertex.
If you have a quadratic equation in the form y = ax^2 + bx + c, the x-coordinate of the vertex is given by -b/2a.
For example, if you have the equation y = 2x^2 + 4x + 1, the x-coordinate of the vertex is given by -4 / (2*2) = -4/4 = -1.
Once you have the x-coordinate of the vertex, you can substitute it back into the equation to find the y-coordinate.
Without additional information or a specific equation or graph, it is not possible to determine the vertex from the given options.