How do I find the coordinates of the vertex of a parabola? Also How do I find the Foci?

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How do I find the coordinates of the vertex of a parabola? Also How do I find the Foci?

Mathematics
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Complete The Square Method.
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
What is the parabola form? particular problem, please

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Other answers:

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

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