Rachelle, Kadison, Mason, Chad, and Julia
 A hyperbola is the set of all points in theplane in which the difference of the distancesfrom two distinct fixed points ...
 Center- the midpoint of the line segmentwhose endpoints are the foci. Formula for center: F₁F₂/2 Vertex- the point on ...
 Asymptotes- The lines that the curveapproaches as it recedes from the center. Asyou move further out along the branches,...
 For a hyperbola the relationship among a, b,and c is represented by a2 + b2 =c2. Theasymptotes contain the diagonals of ...
 Distance formula: |√((x + c)2 + y2 )- √((x +c)2 + y2 )= |c + a – (c –a)| Hyperbola Formula: |PF2 –PF1 | = |VF2 – VF1| ...
Hyperbolas
Hyperbolas
Hyperbolas
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Hyperbolas

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Hyperbolas

  1. 1. Rachelle, Kadison, Mason, Chad, and Julia
  2. 2.  A hyperbola is the set of all points in theplane in which the difference of the distancesfrom two distinct fixed points is constant. The foci is the constant, that if F1 and F2 arethe foci of the hyperbola and P and Q are anytwo points on the hyperbola. Foci Formula: |PF₁ – PF₂ |= |QF₁ – QF₂ |
  3. 3.  Center- the midpoint of the line segmentwhose endpoints are the foci. Formula for center: F₁F₂/2 Vertex- the point on each branch of thehyperbola that is nearest to the center.
  4. 4.  Asymptotes- The lines that the curveapproaches as it recedes from the center. Asyou move further out along the branches, thedistance between points on the hyperbolaand the asymptotes approaches zero. Transverse axis- the line segment connectingthe vertices. Also has a length of 2a units. Conjugate axis- the segment perpendicularto the transverse axis through the center.Also has a length of 2b units.
  5. 5.  For a hyperbola the relationship among a, b,and c is represented by a2 + b2 =c2. Theasymptotes contain the diagonals of therectangle which the diagonals meet coincideswith the center of the hyperbola. C > a for the hyperbola. For standard for of a hyperbola with it’sorigin as its center can be derived from thefoci are on the x- axis at (c,0) and (-c,0) andthe coordinates of any point on the hyperbolaare (x,
  6. 6.  Distance formula: |√((x + c)2 + y2 )- √((x +c)2 + y2 )= |c + a – (c –a)| Hyperbola Formula: |PF2 –PF1 | = |VF2 – VF1| If the foci are on the y-axis, the equation isy2/a2 – x2 /b2 = 1 The standard form of the equation of thehyperbola with center other than the origin isa translation of the parent graph to a centerat (h, k).

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