Conic Sections
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Created by:
kittykittykitty on March 12, 2012
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Description:
Conic sections Ellipses and Parabolas
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49 terms
Terms | Definitions |
|---|---|
 (x-h)²=4p(y-k)OPENS: | up or down |
| (x-h)²=4p(y-k) FOCUS: | (h,k+p) |
| (x-h)²=4p(y-k) DIRECTRIX: | y=k-p |
| (x-h)²=4p(y-k) AXIS: | x=h |
| (x-h)²=4p(y-k) FOCAL LENGTH: | p |
| (x-h)²=4p(y-k) FOCAL WIDTH: | |4p| |
| (y-k)²=4p(x-h) OPENS: | left or right |
| (y-k)²=4p(x-h) FOCUS: | (h+p,k) |
| (y-k)²=4p(x-h) DIRECTRIX: | x=h-p |
| (y-k)²=4p(x-h) AXIS: | y=k |
| (y-k)²=4p(x-h) FOCAL LENGTH: | p |
| (y-k)²=4p(x-h) FOCAL WIDTH: | |4p| |
| x²=4py OPENS: | up or down |
| x²=4py FOCUS: | (0,p) |
| x²=4py DIRECTRIX: | y=-p |
| x²=4py AXIS: | y-axis |
| x²=4py FOCAL LENGTH: | p |
| x²=4py FOCAL WIDTH | |4p| |
| y²=4px OPENS: | left or right |
| y²=4px FOCUS: | (p,0) |
| y²=4px DIRECTRIX: | x=-p |
| y²=4px AXIS: | x-axis |
| y²=4px FOCAL LENGTH: | p |
| y²=4px FOCAL WIDTH: | |4p| |
| (x²/a²)+(y²/b²)=1 FOCAL AXIS: | x-axis |
| (x²/a²)+(y²/b²)=1 FOCI: | (±c,0) |
| (x²/a²)+(y²/b²)=1 VERTICES: | (±a,0) |
| (x²/a²)+(y²/b²)=1 SEMIMAJOR AXIS: | a |
| (x²/a²)+(y²/b²)=1 SEMIMINOR AXIS: | b |
| (x²/a²)+(y²/b²)=1 PYTHAGOREAN RELATION: | a²=b²+c² |
| (y²/a²)+(x²/b²)=1 FOCAL AXIS: | y-axis |
| (y²/a²)+(x²/b²)=1 FOCI: | (0,±c) |
| (y²/a²)+(x²/b²)=1 VERTICES: | (0,±a) |
| (y²/a²)+(x²/b²)=1 SEMIMAJOR AXIS: | a |
| (y²/a²)+(x²/b²)=1 SEMIMINOR AXIS: | b |
| (y²/a²)+(x²/b²)=1 PYTHAGOREAN RELATION: | a²=b²+c² |
| (x-h)²/a² + (y-k)²/b²=1 FOCAL AXIS: | y=k |
| (x-h)²/a² + (y-k)²/b²=1 FOCI: | (h±c,k) |
| (x-h)²/a² + (y-k)²/b²=1 VERTICES: | (h±a,k) |
| (x-h)²/a² + (y-k)²/b²=1 SEMIMAJOR AXIS: | a |
| (x-h)²/a² + (y-k)²/b²=1 SEMIMINOR AXIS: | b |
| (x-h)²/a² + (y-k)²/b²=1 PYTHAGOREAN RELATION: | a²=b²+c² |
| (y-k)²/a² + (x-h)²/b²=1 FOCAL AXIS: | x=h |
| (y-k)²/a² + (x-h)²/b²=1 FOCI: | (h,k±c) |
| (y-k)²/a² + (x-h)²/b²=1 VERTICES: | (h,k±a) |
| (y-k)²/a² + (x-h)²/b²=1 SEMIMAJOR AXIS: | a |
| (y-k)²/a² + (x-h)²/b²=1 SEMIMINOR AXIS: | b |
| (y-k)²/a² + (x-h)²/b²=1 PYTHAGOREAN RELATION: | a²=b²+c² |
| ECCENTRICITY ELLIPSE: | c/a |
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