Quadratic Functions - Factoring and Standard Form
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This example demonstrates the conversion between factored and standard forms of quadratic functions. Key math concepts include quadratic functions, factoring, and standard form (ax²+bx+c). GeoGebra commands/objects used: b, a, m, n, c, g, d, e, f, text1, text2. Suitable for high school mathematics students to understand and practice the two forms and their transformations.
GeoGebra Commands & Parameters
Numeric b(-1)Numeric a(1)Numeric m(3)Numeric n(-2)Numeric c(-6)g(x) = (a * x^(2)) + (b * x) + c((-b) + sqrt(b^(2) - ((4 * a) * c))) / ((2 * a))((-b) - sqrt(b^(2) - ((4 * a) * c))) / ((2 * a))f(x) = ((x - m) * (x - n))
AI Drawing Prompt Reference
Draw a quadratic function graph in both standard and factored forms. First, draw the graph of the quadratic function in standard form with parameters a=1, b=-1, c=-6. Then, draw the graph of the quadratic function in factored form with parameters m=3, n=-2.
The prompt above was compiled from the original drawing commands and is for reference only.