SOLUTION: Find the equation of a hyperbola with a vertex at (-2,15) , a focus at (-2,22) and a center at (-2,7)

Question 867669: Find the equation of a hyperbola with a vertex at (-2,15) , a focus at (-2,22) and a center at (-2,7)
Answer by lwsshak3(11628) (Show Source): You can put this solution on YOUR website!
Find the equation of a hyperbola with a vertex at (-2,15) , a focus at (-2,22) and a center at (-2,7)
Given data shows hyperbola has a vertical transverse axis.
Its standard form of equation: , (h,k)=coordinates of center
center:(-2,7)
a=8 (distance from center to vertices on the vertical transverse axis)
a^2=64
c=15 (distance from center to foci on the vertical transverse axis)
c^2=225
c^2=a^2+b^2
b^2=c^2-a^2=225-64=161
equation of given hyperbola:
RELATED QUESTIONS
Find the equation of the hyperbola for each given conditions. b. Center at (2,2), a... (answered by MathLover1)

Find the equation of the hyperbola for each given conditions. c. Center at (-2,2); a... (answered by MathLover1)

Find the equation of the hyperbola for each given condition. c. Center at (-2, 2); a... (answered by MathLover1)

Write an equation for a hyperbola with its center at (2, 3), one vertex at (7, 3), and... (answered by ewatrrr)

Write an equation for a hyperbola with its center at (2, 3), one vertex at (7, 3), and... (answered by lwsshak3)

The equation of the hyperbola that has a center at (10,4), a focus at (15,4), and a... (answered by ewatrrr)

Write an equation for an ellipse with its center at (2,3), one vertex at (6, 3), and one... (answered by ewatrrr)

Find an equation of an ellipse using the following: center at (2,-2), vertex at (5,-2)... (answered by ikleyn)

what is the standard form of the equation of a hyperbola with vertex (0,4) focus at (0,5) (answered by Edwin McCravy)