Parabolas Write up with graphs

May 9th, 2015
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Work with parabolas, solving for focus, directrix, and axis of symmetry. Discusses different parabola representations and includes the equations of parabolas and their graphs.

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1) The main difference between x^2=4py and y^2=4px is the orientation of the parabola.Whichever variable is the unsquared term is the one that will have the axis of symmetry, andconsequently, the axis that the parabola will be facing.x^2=4py refers to the conventional parabola whose axis of symmetry is the y-axis, and looks like a smileyface.y^2=4px is a parabola whose opening is facing the positive x-axis, conventionally to the right.Adding a negative sign to either one of the equations will change the direction of the parabola. So withx^2=4py, if we make it x^2=-4py if will be a parab

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