SOLUTION: Write an equation of a hyperbola with the given foci and vertices Foci (0,+-13), vertices (0,+-5)

Algebra.Com
Question 1153742: Write an equation of a hyperbola with the given foci and vertices
Foci (0,+-13), vertices (0,+-5)

Answer by MathLover1(20850)   (Show Source): You can put this solution on YOUR website!

given:
foci (,), (,)
vertices (,), (,)
We can tell that it is a vrtical hyperbola.
The center point is (, ).
To find , we'll count from the center to either vertex.

To find , we'll count from the center to either focus.

then use






We have all our information:, , , . Since it's a horizontal hyperbola centered in origin, we'll choose that formula and substitute in our information.







RELATED QUESTIONS

Write an equation of a hyperbola with the given foci and vertices. foci (+-17, 0),... (answered by tommyt3rd)
Write an equation of a hyperbola with the given foci and vertices Foci (+-5,0), vertices (answered by MathLover1)
Write the equation of a hyperbola with vertices (0,-4) and (0,4) and foci (0,-5) and... (answered by lwsshak3)
Write an equation of the ellipse with foci at (0,+-12), and vertices at (0,+-13) (answered by lwsshak3)
Find the vertices and foci of the hyperbola with equation x squared over nine minus y... (answered by MathLover1)
Find the standard form of the equation of the hyperbola with the given characteristics. (answered by ewatrrr)
Find the standard form of the equation of the hyperbola with the given characteristics (answered by lwsshak3)
Write an equation of the hyperbola with foci (0, -2) and (0, 2) and vertices of (0,-1 )... (answered by stanbon)
Write an equation of the hyperbola with vertices at (–7, 0) and (7, 0) and foci at (–9,... (answered by lwsshak3)