Determining the Equation of a Quadratic From a Graph

It's only fair to share...Share on FacebookTweet about this on TwitterPin on PinterestShare on Google+Share on RedditEmail this to someone

Every quadratic graph is unique, since if two quadratic graphs pass through the same set of points, they must be the same graph. The general equation of a quadratic graph is(1). This has three constantsandso we can use three points on the graph to write down three simultaneous equations and solve them to findand

Example: The graph below passes through the p[ointsand

Substitute these points into the equation (1) to give the simultaneous equations




Substitutinginto (3) and (4) gives



(6)-2*(5) gives

From (5) then

Comments are closed.