SOLUTION: Write in standard form.It is a Hyperbola. The vertices are (0,+-1) and the foci are (0, +-5).

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Question 693238: Write in standard form.It is a Hyperbola. The vertices are (0,+-1) and the foci are (0, +-5).
Answer by lwsshak3(11628) About Me  (Show Source):
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Write in standard form.It is a Hyperbola. The vertices are (0,+-1) and the foci are (0, +-5).
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This is a hyperbola with horizontal transverse axis.
Its standard form of equation: %28y-k%29%5E2%2Fa%5E2-%28x-h%29%5E2%2Fb%5E2=1, (h,k)=(x,y) coordinates of center
For given hyperbola:
center:(0,0)
a=1 (distance from center to vertices on transverse axis)
a^2=1
c=5 (distance from center to foci on transverse axis)
c^2=25
c^2=a^2+b^2
b^2=c^2-a^2=25-1=24
Equation of given hyperbola:y%5E2-x%5E2%2F24=1