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Investigating the Quadratic Function This investigation is focused on how to solve quadratic functions by putting them into a perfect square. The basic form of a quadratic function is y = ax² + bx + c. When drawn on a graph these functions create a parabola that opens down or opens up. The 'a' in the function refers to the leading coefficient; the value of this number decides wheather the parabola will be negative or positive. Positive parabolas open up whereas negative parabolas open down. Here are a few graphs that illustrate positive parabolas that shift vertically due to a different value of 'c'. The scale of all the graphs is 1 on both the y-axis and x-axis. A B C y = x² y = x² + 3 y = x² -2 The "vertex" is the co-ordinate where the parabola turns; this is also referred to as the "turning point". In these...

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