A graphing parabola is a curve which has two main points of origin and which we would want to compare with each other. We can do this by using the graph-theory function of Mathematica and by choosing the dot product. The formula for this is the equation: V=I(t). An additional useful formula for plotting parabolas is the cubic equation: V=Cn(V).
To plot a graphing parabola in Vertex form we would use the tool box in the upper left of the graphing screen. Use the mouse to move the cursor over the vertex and click once to start the graphing process. You will then be shown the points of the parabola as arcs, one on each line. It is this that we will need to plot.
Choose the first point of the parabola and make it the starting point of the line. Then find the centre of the parabola by moving the cursor to the centre of the parabola arc. Take note of the right angle from this point to the line of intersection. This will be the number of degrees you should rotate the graph paper until the point of intersection of the two lines is exactly the same as the one you found.
When you have found the intersection of the two lines you will need to look at the ray direction. Find out what the direction is from the point on the parabola. The function to use here is called: Math. =A0 + Bk. Where: Bk is the base of the parabola, A is the area of the parabola and B is the radius of the parabola.
Find out the ray direction from the point of intersection of the parabola with the ray from the ray of intersection. Again the function to use here is called: Math. =A0 – Bk. Now you need to rotate the parabola so that the ray of intersection with the line is exactly parallel to the ray of intersection from the parabola to the point where the parabola and the line intersect.
You need to find the point of intersection of the two lines. If this point is not marked on the graph paper or does not exist it is a bug. Therefore you need to write it down somewhere or mark it on the graph paper.
Rotate the parabola until the axis bisects the point. The axis bisector is the point where the parabola has the same axis length as the tangent line to the point of intersection. This means that when you find the axis bisector you will know the value of the axis that bisects the parabola.
Find the intersection of the parabola and the tangent line and mark the axis bisector. Find the second point of intersection and mark it on the graph paper. Repeat this step until you have plotted the entire parabola graph.