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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.
The vertex of a parabola doe not provide enough information to graph anything - other than the 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.
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.