Chapter 10 Formulas
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Created by:
caroline-ela on April 3, 2011
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45 terms
English | Photos |
|---|---|
Distance Formula | ![]() √(x-x)^2 + (y-y)^2 |
Midpoint | (a+b)/2 |
Vertical Parabola | y=a(x-h)^2 +k |
Vertical Parabola Vertex | (h,k) |
Vertical Parabola Axis of symmetry | x=h |
Vertical Parabola Focus | (h, k+- 1/4d) |
Vertical Parabola Directrix | y=k - 1/4a |
Vertical Parabola Latus Rectum | |1/a| |
Horizontal Parabola | x=a(y-k)^2 +h |
Horizontal Parabola Vertex | (h,k) |
Horizontal Parabola Axis of Symmetry | y=k |
Horizontal Parabola Focus | (h +- 1/4a, k) |
Horizontal Parabola Directrix | x=h-1/4a |
Horizontal PArabola Latus Rectum | |1/a| |
Circle | (x-h)^2 + (y-k)^2 =r^2 |
Vertical Ellipse | (x-h)^2/b^2 + (y-k)^2/a^2 = 1 |
Vertical Ellipse Center | h,k |
Vertical Ellipse Major Axis | 2a |
Vertical Ellipse Minor Axis | 2b |
Vertical Ellipse Foci | h, k +- c) |
Horizontal Ellipse | (x-h)^2/a^2 + (y-k)^2/b^2 = 1 |
Horizontal Ellipse Center | h,k |
Horizontal Ellipse Major Axis | 2a |
Horizontal Ellipse Minor Axis | 2b |
Horizontal Ellipse Foci | (h +- c, k) |
Vertical Hyperbola | (y-k)^2/a^2 - (x-h)^2/b^2 = 1 |
Vertical Hyperbola Center | h,k |
Vertical Hyperbola Transverse Axis | 2a |
Vertical Hyperbola Conjugate Axis | 2b |
Vertical Hyperbola Vertices | (h, k+-a) |
Vertical Hyperbola Foci | (h, k +- c) |
Vertical Hyperbola Slope of asymptotes | +- a/b |
Vertical Hyperbola equations of asymptotes | y-k = +- a/b (x-h) |
Horizontal Hyperbola | (x-h)^2/a^2 - (y-k)^2/b^2 =1 |
Horizontal Hyperbola Center | (h,k) |
Horizontal Hyperbola Transverse Axis | 2a |
Horizontal Hyperbola Conjugate Axis | 2b |
Horizontal Hyperbola Vertices | (h +- a, k) |
Horizontal Hyperbola Foci | (h +- c, k) |
Horizontal Hyperbola Slope of Asymptotes | +- b/a |
Horizontal Hyperbola Equations of Asymptotes | y-k = +- b/a (x-h) |
Parabola Conic Section Relationship | A or C = 0 |
Circle Conic Section Relationship | A+C same sign, same value |
Ellipse Conic Section Relationship | A+C same sign, different value |
Hyperbola Conic Section Relationship | A and C term have different signs |
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