parabola

Visualizing Area Relationships for the General Form Equation y=x^2 of the Parabola | Steve Wait – October 28, 2021

For a point P(x,y) on the Parabola in the form y=x2, the area x2 equals the area of product y and the length of the Latus Rectum. y = x2 11 × y1 = (11 × x1) × (11 × x1) x = .5 11 × y1 = (11 × .51) × (11 × .51) 11 × y1 = .51 × .51 y1 = (.51 × .51) / 11 y1 = .52 / 11 y1 = .251 / 11 y1 = .251 y = .25 A GeoGebra animation can be viewed here: Area Relationships of the Parabola – GeoGebra

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