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Family of Functions DI

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This investigation aims to explore the relationships that exist between parabolas drawn from two quadratic functions and one cubic function while identifying the relations between such functions.

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9 Pages Essays / Projects 1-2 Years old
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Family of Functions DI
Topics this document covers:
Mathematics Elementary algebra Geometry Algebra Equations Polynomial functions Parabolas Conic sections Quadratic function Quadratic equation Cubic function Y-intercept
This is an Essay / Project

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Topics this document covers:
Mathematics Elementary algebra Geometry Algebra Equations Polynomial functions Parabolas Conic sections Quadratic function Quadratic equation Cubic function Y-intercept
Sample Text:
Part A of the investigation focuses on analyzing the quadratic function, y = x2 + bx + 1, utilizing different methods to calculate the vertices of each variated quadratic and compare them through means of graphing and tables. Based on the calculated data, relationships that exist between each variated quadratic can be drawn. Part B of this investigation focuses on finding relationships that exist between the variations of y = x2 + (m − 2)x + (1 − 2m), through the simplification of this function and by comparing found vertices and points in which all parabola pass through. The final focus of this investigation looks at the third order polynomial, = x3 + (m + 1)x2 + mx + 3 , and the relationships between this function for different values of m through graphical comparison. ...
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