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Isabel☺

  • 2 years ago

how will you know if an equation is a parabola, circle, etc.?

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  1. amistre64
    • 2 years ago
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    there is a general conic equation; something like x^2 + xy + y^2 + ... that i can never recall if its a standard conic (not twisted at an angle) you can recognize certain proerties

  2. amistre64
    • 2 years ago
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    a parabola only has one square in it a circle will have the same constants for x^2 and y^2, and have a + in the middle an ellipse is like a circle, but it has different constants a hyperbola is like an ellipse, but with a minus sign

  3. Isabel☺
    • 2 years ago
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    uhmm...kay maybe with some examples? oh, wait thanks! :)

  4. amistre64
    • 2 years ago
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    parabola: y = x^2 + .... circle: x^2 + y^2 = 8 ellipse: 4x^2 + 7y^2 = 15 hyperbola: 3x^2 - 2y^2 = 29

  5. Isabel☺
    • 2 years ago
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    so why is y=4-x^2 a parabola?

  6. amistre64
    • 2 years ago
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    generally, becasue it has one sqaured term in it

  7. Isabel☺
    • 2 years ago
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    but (x-h)^2 = 4p (y-k) is the eq. of a parabola right?

  8. amistre64
    • 2 years ago
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    |dw:1359987041116:dw|

  9. amistre64
    • 2 years ago
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    there is an algebra definition and a geometric definition; you presented the geometric one

  10. Isabel☺
    • 2 years ago
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    what's the difference between those definition ?

  11. amistre64
    • 2 years ago
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    one is defined by geometric properties, while te other is defined by arithmetical properties. The two are equivalent, but its just the perspective studies that generated them.

  12. amistre64
    • 2 years ago
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    directrix distance (directrix is a geometric property) v v (x-h)^2 = 4p (y-k) ^ ^ ^ ^ center x center y

  13. amistre64
    • 2 years ago
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    y = 4 -x^2 x^2 = 4 - y (x - 0)^2 = -4/4 (y - 4) p = -1/4; and center (or vertex in this case) is at (0,4)

  14. amistre64
    • 2 years ago
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    cost accting exam starting soon, good luck ;)

  15. Isabel☺
    • 2 years ago
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    thanks! :)

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