anonymous
  • anonymous
Find the vertices and foci of the hyperbola with equation..
Mathematics
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SOLVED
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chestercat
  • chestercat
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anonymous
  • anonymous
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anonymous
  • anonymous
@Nnesha
Nnesha
  • Nnesha
do you know the difference between horizontal hyperbola and vertical hyperbola ? which one is that ? vertical or horizontal

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anonymous
  • anonymous
horizontal
Nnesha
  • Nnesha
the standard form for horizontal is \[\rm \frac{ (x-h)^2}{ a^2 }-\frac{(y-k)^2}{b^2}=1\] if the x-coordinate above a then it's horizontal and if the y-coordiante above then it should be vertical and (h,k) is the center and since it's horizontal y coordinate would stay the same of the center and vertices are \[\rm (h \pm a , k) \] and foci at \[\rm (h \pm c , k)\]
Nnesha
  • Nnesha
to find c use the Pythagorean theorem c^2=a^2+b^2
Nnesha
  • Nnesha
vertices represent the distance b/w the center and vertex of both sides |dw:1449535500722:dw|
Nnesha
  • Nnesha
feel free to ask any question ? if you don't understand anything just say it

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