0
Example function.
Y = X2 - 4X + 5
set to 0
X2 - 4X + 5 = 0
X2 - 4X = - 5
Now, halve the linear coefficient, square it and add it to both sides
X2 - 4X + 4 = - 5 + 4
gather terms on the right and factor on the left
(X - 2)2 = -1
==============Vertex form.
(2, - 1)
=======Vertex.
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Is x2 plus 8 a function?
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.
What is a cycle in graph theory?
If the graph start and end with same vertex and no other vertex can be repeated then it is called trivial graph.
How do you graph parabola given its vertex?
The vertex of a parabola doe not provide enough information to graph anything - other than the vertex!
What is an example of range in math?
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).
What is a pendent vertex?
A vertex of a graph is said to be pendant if its neighborhood contains exactly one vertex.
Which vertex in the graph does not have any weighting assigned to it?
The vertex that does not have any weighting assigned to it in the graph is called an unweighted vertex.
What different information do you get from vertex form and quadratic equation in standard form?
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.
What name is given to the turning point also known as the maximum or minimum of the graph of a quadratic function?
vertex
Is x2 plus 8 a function?
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.
What is a cycle in graph theory?
If the graph start and end with same vertex and no other vertex can be repeated then it is called trivial graph.
How do you graph parabola given its vertex?
The vertex of a parabola doe not provide enough information to graph anything - other than the vertex!
What point on the graph could be the fourth vertex of the parallelogram?
the origin is the point in the graph that can be fourth vertex
What is the highest or lowest point on a graph called?
The vertex is the highest or lowest point on a graph.
What is an example of range in math?
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).
What is y equals x2 plus 2x plus 1 on a graph?
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.
What is a pendent vertex?
A vertex of a graph is said to be pendant if its neighborhood contains exactly one vertex.
What is the complexity of finding the minimum vertex cover in a graph, also known as the vertex cover problem?
The complexity of finding the minimum vertex cover in a graph, also known as the vertex cover problem, is NP-hard.
