Properties
Category
Uncategorized
Similar Topics
Statistics
Comments
9
Participants
6
Subscribers
6
Votes
1
Views
690
Share
How does geogebra quickly determine the analytical formula of a parabola passing through three point
Answered
How does geogebra quickly determine the analytical formula of a parabola passing through three points?For example, a parabola passes through three points: A (2,0), B (4,0), and C (0,2).
 GeoGebra
 Help
 Partners

Contact us
 Feedback & Questions
 This email address is being protected from spambots. You need JavaScript enabled to view it.
 +43 677 6137 2693
© 2021 International GeoGebra Institute
or
Form polynomial with the 3 points (A,B,C). Then place 2 additional points (D,E) on the function. Then form the conic section with the 5 points (A,B,C,D,E).
Addition:
create the directrix and focus to the Conic . Use these two to create the parabola (yields shortened coefficients)
Finally, a user tool can be created (ggt)
You need to do exactly what you would do on paper, e.g. create a system of 3 equations in 3 variables using the general equation of the parabola (first of all figure out which one it is (x=... or y=...), depending on the position of the three points, then telling to the parabola to pass through A, B and C respectively.
or
Form polynomial with the 3 points (A,B,C). Then place 2 additional points (D,E) on the function. Then form the conic section with the 5 points (A,B,C,D,E).
Addition:
create the directrix and focus to the Conic . Use these two to create the parabola (yields shortened coefficients)
Finally, a user tool can be created (ggt)
http://mathworld.wolfram.co...
What about
FitPoly({A,B,C}, 2)
?
Comments have been locked on this page!