The Multiplication Parabola

We are given two points on the parabola, y = x^2 , one left and one right of the vertex. The absolute value of the product of the x-coordinates of these two points, is the same as the y-coordinate of the y-intercept of the line passing through those same two points. Students are asked to prove to this result?

 

Carolyn Shand-Hawkions

 
Resource Type
Activity
Tags
algebra  equation-line  graphs  multiplication  parabola  quadratic  quadratic-equation  quadratic-function  sphere 
Target Group (Age)
15 – 18
Language
English (United States)
 
 
GeoGebra version
4.0
Views
1627
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