cutiecomittee123
  • cutiecomittee123
How do I find the coordinates of the vertex of a parabola? Also How do I find the Foci?
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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chestercat
  • chestercat
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CoconutJJ
  • CoconutJJ
Complete The Square Method.
hwyl
  • hwyl
the vertex is the highest or the lowest point of a parabola in the form \(f(x) = a(x-h) + k \) (h, k) is the vertex on condition that a is not equal to zero
Loser66
  • Loser66
What is the parabola form? particular problem, please

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cutiecomittee123
  • cutiecomittee123
OMG wow I meant to say hyperbola
CoconutJJ
  • CoconutJJ
well that's a different story...
cutiecomittee123
  • cutiecomittee123
and the equation given is x^2/16 - y^2/25 =1
CoconutJJ
  • CoconutJJ
I don't think there is a vertex...
cutiecomittee123
  • cutiecomittee123
well there are vertices
cutiecomittee123
  • cutiecomittee123
because with a hyperbola there are basically two parabolas
CoconutJJ
  • CoconutJJ
dy/dx*
Loser66
  • Loser66
YOur hyperbola has the form \(\dfrac{x^2}{a^2}-\dfrac{y^2}{b^2}=1\) where \(a^2 = 16\) and \(b^2 = 25\)
Loser66
  • Loser66
hence, its graph is |dw:1432872366397:dw|
Loser66
  • Loser66
Foci will lie on x-axis, and it is calculated by \(c^2 = a^2+b^2 = 16+25 =41\) hence, foci are \((\pm \sqrt {41},0)\)
Loser66
  • Loser66
One more thing: it doesn't have directrix but the center, and you know how to find the center, right? just (0,0)
cutiecomittee123
  • cutiecomittee123
Wait no, how is the center found??
Loser66
  • Loser66
half way of foci, in this case, it is ALWAYS =(0,0)|dw:1432873065615:dw|
cutiecomittee123
  • cutiecomittee123
how do i find the vertices? @Loser66
Loser66
  • Loser66
what??? the vertices is a on your expression
anonymous
  • anonymous
can you help me with some math
anonymous
  • anonymous
i will help you too ok

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