Q: What is the vertex of the quadratic equation y equals x squared minus x plus 72?

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there will be three vertex AB, BC, AC

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The height of a triangle is the perpendicular distance measured from the chosen base (or base extension*) to its opposite vertex (or apex)+.* If any of the shorter sides of an obtuse triangle is chosen to be the base, an extension need to be drawn to this base so that a perpendicular can be constructed from the apex down to this base extension.There are three sides to a triangle, hence three possible bases. Each base will have a corresponding height that is measured from the opposite vertex or apex+.A vertex is the point when 2 sides of a figure intersect.(Read more: vertex)+ A triangle has 3 vertices. 2 vertices defines the length of the base. There remains one vertex that is not touching the base. This vertex is opposite to the base (or base extension) and it is referred to as the apex.

Factoring can be put in many different forms. When equations refer to graphs, they can be very useful in telling how the graph looks. For example, vertex form (y= a(x+h)^2 + k ) shows the vertical stretch/compression(a), and the horizontal(h) and vertical(k) shifts. Also, in the form y = a(x + z)(x + y) you get the roots[Where the x-axis is crossed] of the equation. z and y being variables that represent the points on the graph. In the form y = ax^2 + bx + c you can use it to find intercepts and roots as well by the method of setting x or y to zero and solving, or using the quadratic formula. *Math student and tutor.

Let G be a complete graph with n vertices. Consider the case where n=2. With only 2 vertices it is clear that there will only be one edge. Now add one more vertex to get n = 3. We must now add edges between the two old vertices and the new one for a total of 3 vertices. We see that adding a vertex to a graph with n vertices gives us n more edges. We get the following sequence Edges on a graph with n vertices: 0+1+2+3+4+5+...+n-1. Adding this to itself and dividing by two yields the following formula for the number of edges on a complete graph with n vertices: n(n-1)/2.

Related questions

The vertex form for a quadratic equation is y=a(x-h)^2+k.

The vertex.

You should always use the vertex and at least two points to graph each quadratic equation. A good choice for two points are the intercepts of the quadratic equation.

D

No.

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.

y=4x-12-3 is the equation of a straight line. It does not have a vertex. Did you mean y=x squared - 12x - 3 ?

y=2(x-3)+1

The vertex is at the point (0, 4).

3

(0, -3)

The standard form of the quadratic function in (x - b)2 + c, has a vertex of (b, c). Thus, b is the units shifted to the right of the y-axis, and c is the units shifted above the x-axis.