By Carly Coffman
Now that we have studied conic sections, you will come up with an equation of a conic given some information about the conic.† In applications, many times you are given a situation and must determine what type of conic section your data fits.† So, I hope youíre ready to show off your knowledge of conics!
Given a picture of a conic, come up with the equation of the conic.
Now, you will be given a set of data in Excel.† We will go through one example and then Iíll set you free on your own.†
Click on this link to see data for a dolphinís jump.
(this is not true data)
From the graph, we can determine that the pattern is a parabola.† So, we know the equation must be
When clicking on the vertex, we can see that the coordinates are (2.5, 10) so we can substitute these values for h and k respectively.† Then, we can select another point on the graph, (5,0) and substitute these values for x and y respectively.† So we get the following equation:
Simplifying we get:
So, the equation for the graph above is:
Now itís your turn.† Find the equation that best fits the following sets of data.
(Copy and paste each set of data and graph into your Word document)