Quadratic Equations and Roots

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2016-11-10 05:45

This example demonstrates the geometric representation of quadratic equations and their roots. By adjusting coefficients a, b, and c, you can observe changes in the quadratic function's graph and its intersections with the x-axis, which are the roots of the equation. It utilizes functions, slider animations, and locus commands in GeoGebra. Suitable for middle school and above students to learn about the properties and graph characteristics of quadratic equations.

GeoGebra Commands & Parameters

Numeric a(1)
Numeric b(-10)
Numeric c(41)
y = (a * x^(2)) + (b * x) + c
(-(b / ((2 * a))))
(a * c)
b^(2) - (4 * ac)
(-f)
f > 0
e + (h * sqrt(abs(f)) / ((2 * a)))
e - (h * sqrt(abs(f)) / ((2 * a)))
((1 - h) * sqrt(abs(f)) / ((2 * a)))
(-s)
(r, s)
(t, s)
(t, (-s))
(r, s)