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 (x-h) 2 = 4p(y-k)  (y-k) 2 = 4p(x-h) If the x value is greater than 1 the parabola will open up. If the x value is less than 1 the parabola will open.

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Presentation on theme: " (x-h) 2 = 4p(y-k)  (y-k) 2 = 4p(x-h) If the x value is greater than 1 the parabola will open up. If the x value is less than 1 the parabola will open."— Presentation transcript:

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2  (x-h) 2 = 4p(y-k)  (y-k) 2 = 4p(x-h) If the x value is greater than 1 the parabola will open up. If the x value is less than 1 the parabola will open down. If the y value is greater than 1 the parabola will open to the right. If the y value is less than 1 the parabola will open to the left.

3 (x-h) 2 + (y-k) 2 = r 2 Center: (h,k) Radius: r

4  (x-h) 2 + (y-k) 2 = 1 a 2 b 2  (x-h) 2 + (y-k) 2 = 1 b 2 a 2 The a value is the larger #. If the a value is first the ellipse will be fat. If the a value is second the ellipse will be skinny.

5  (x-h) 2 - (y-k) 2 = 1 a 2 b 2  (y-k) 2 - (x-h) 2 = 1 a 2 b 2 If the x value is positive the graph will open left and right. If the y value is positive the graph will open up and down. a: center to vertex b: gets the points on the asymptote c: coordinates of focus

6  Each of these graphs show the position of an object horizontally and vertically.  Parametric Equations are functions of time.  The arrows on the graph show the orientation of how the object is moving.


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