Thursday, May 28, 2009

Conics BOB~

The conics section is one of my favorites. There weren't any big surprises and it seemed "short and sweet".

What we learned:

  • vertex (h,k), a directrix (straight line, fixed distance from vertex), and focus(fixed distance from vertex)
  • Standard form VERTICAL:
  • Standard form HORIZONTAL:
  • When 4p, also known as a, is greater than 1 the parabola is wide.
  • When 4p is less than 1 the parabola is skinny.
  • focus= center (h,k)
  • Standard form:
  • remember, the r is squared.
  • center (h,k), Vertices's (endpoints on Major axis), major axis (length of 2a), semi-major axis (length of a, center to one of the vertices's), Minor axis (legnth of 2b), Semi-minor (length b),Foci (c units from center), Focal radi (distance b/w Foci and point on ellipses.
  • The midpoint of two foci would center of ellipses.
  • Standard form HORIZONTAL:
  • Standard form VERTICAL:
  • a^2 is the bigger number.
  • c^2 = a^2 - b^2
  • center (h,k), Transverse axis (the distance b/w the vertices's, which are also the vertex. Is the difference of foci to pt, foci2 to pt. length of 2a), semi-transverse axis ( a),conjugate axis (length of 2b), Sem-iconjigate (b), Foci (c units from center), asymptotes.
  • Standard form HORIZONTAL:
  • Standard form VERTICAL:
  • c^2 = a^2 + b^2
  • When given slope of asymptotes, you can figure out the value of b or a. b/a = rise over run.
When changing equation from general to standard, you'd need to complete the square.

study hard guys!
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