conics.pdf - Parabola Equation Vertex Focus Directix Latus rectum Direction of opening Axis of symmetry Axis of symmetry equation(y \u2212 k)2 = 4a(x \u2212

# conics.pdf - Parabola Equation Vertex Focus Directix Latus...

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Parabola Equation ( y - k ) 2 = 4 a ( x - h ) ( x - h ) 2 = 4 a ( y - k ) Vertex ( h, k ) ( h, k ) Focus ( h + a, k ) ( h, k + a ) Directix x = h - a y = k - a Latus rectum ( h + a, k ± 2 a ) ( h ± 2 a, k + a ) Direction If a > 0, right If a > 0, up of opening If a < 0, left If a < 0, down Axis of symmetry Parallel or equal to x -axis Parallel or equal to y -axis Axis of symmetry equation y = k x = h Ellipse Equation ( x - h ) 2 a 2 + ( y - k ) 2 b 2 = 1; a 2 > b 2 ( x - h ) 2 b 2 + ( y - k ) 2 a 2 = 1; a 2 > b 2 Center ( h, k ) ( h, k ) Vertices ( h ± a, k ) ( h, k ± a ) Foci ( h ± c, k ) ( h, k ± c ) a, b, c a > b > 0, b 2 = a 2 - c 2 a > b > 0, b 2 = a 2 - c 2 Major Axis Parallel or equal to x -axis Parallel or equal to y -axis Major Axis equation y = k x = h Major Axis length 2 a 2 a Minor Axis Parallel or equal to y -axis Parallel or equal to x -axis Minor Axis equation x = h y = k Minor Axis length #### You've reached the end of your free preview.

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Unformatted text preview: 2 b 2 b Hyperbola Equation ( x-h ) 2 a 2-( y-k ) 2 b 2 = 1 ( y-k ) 2 a 2-( x-h ) 2 b 2 = 1 Center ( h, k ) ( h, k ) Vertices ( h ± a, k ) ( h, k ± a ) Foci ( h ± c, k ) ( h, k ± c ) a, b, c a > 0, b > 0, b 2 = c 2-a 2 a > 0, b > 0, b 2 = c 2-a 2 Direction of opening left and right up and down Transverse Axis Parallel or equal to x-axis Parallel or equal to y-axis Transverse Axis equation y = k x = h Asymptotes y-k = ± b a ( x-h ) y-k = ± a b ( x-h ) 1...
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• Fall '16
• JUNJIE TIAN

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