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If the graph start and end with same vertex and no other vertex can be repeated then it is called trivial graph.
x2+8= y This equation represents a function. It will be a parabola with the vertex at (0,8). You can easily graph this on a graphing calculator or from prior knowledge. You know the basic graph of y=x2 with vertex (0,0) and opens upwards on the y-axis. From the equation, you simply shift the vertex vertically up 8 so the new vertex is (0,8) This represents a function because for every x value there is one y value.
The vertex of a parabola doe not provide enough information to graph anything - other than the vertex!
range is the y values in a graph otherwise known as a function; for example in the graph y= abs(x), the graph is a v with the vertex at the origin and the range is (0,infinity).
A vertex of a graph is said to be pendant if its neighborhood contains exactly one vertex.
The graph of a quadratic function is always a parabola. If you put the equation (or function) into vertex form, you can read off the coordinates of the vertex, and you know the shape and orientation (up/down) of the parabola.
vertex
x2+8= y This equation represents a function. It will be a parabola with the vertex at (0,8). You can easily graph this on a graphing calculator or from prior knowledge. You know the basic graph of y=x2 with vertex (0,0) and opens upwards on the y-axis. From the equation, you simply shift the vertex vertically up 8 so the new vertex is (0,8) This represents a function because for every x value there is one y value.
If the graph start and end with same vertex and no other vertex can be repeated then it is called trivial graph.
The vertex of a parabola doe not provide enough information to graph anything - other than the vertex!
the origin is the point in the graph that can be fourth vertex
The vertex is the highest or lowest point on a graph.
range is the y values in a graph otherwise known as a function; for example in the graph y= abs(x), the graph is a v with the vertex at the origin and the range is (0,infinity).
Interpreting that function as y=x2+2x+1, the graph of this function would be a parabola that opens upward. It would be equivalent to y=(x+1)2. Its vertex would be at (-1,0) and this vertex would be the parabola's only zero.
A vertex of a graph is said to be pendant if its neighborhood contains exactly one vertex.
If the arrows of the graph point down, then the vertex is a maximum because it is the greatest point on the graph. If the arrows point up, then the vertex is the minimum because it is the lowest point.
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