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# Sec25NotesDone - Sec25NotesDone.notebook Forms of Quadratic...

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Sec25NotesDone.notebook 1 September 30, 2009 Forms of Quadratic Functions Quadratic Function a>0 parabola opens up a<0 parabola opens down c is ‘y­intercept’ Standard Form Switch forms by ‘completing the square’ ‘a’ is the same as above (h,k) is coordinates of vertex of parabola. Shifted ‘h’ units right and ‘k’ units up. http://www.slu.edu/classes/maymk/GeoGebra/QuadEqn.html http://www.math.ohio­state.edu/~maharry/GeoGebra/Math150_TransformFunction.html Completing the Square

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Sec25NotesDone.notebook 2 September 30, 2009 Completing the Square – Another Example
Sec25NotesDone.notebook 3 September 30, 2009

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Sec25NotesDone.notebook 4 September 30, 2009 Completing the Square – Quadratic Formula
Sec25NotesDone.notebook 5 September 30, 2009 Maxima and Minima of Quadratic Function The maximum value of f(x) occurs at If a>0, this is a minimum and the y­value is If a<0, this is a maximum and the y­value is

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Sec25NotesDone.notebook 6 September 30, 2009 Maxima and Minima of Quadratic Function Find the minimum value of this parabola.
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