SOLUTION: Find and equation for the hyperbola that satisfies the given conditions. Vertices: (0,14), (0,-14) and passes through (-5,21)

Question 970161: Find and equation for the hyperbola that satisfies the given conditions.
Vertices: (0,14), (0,-14) and passes through (-5,21)
Answer by lwsshak3(11628) (Show Source): You can put this solution on YOUR website!
Find and equation for the hyperbola that satisfies the given conditions.
Vertices: (0,14), (0,-14) and passes through (-5,21)
***
Given hyperbola has a vertical transverse axis and center at the origin.
Its standard form of equation:
a=14 (distance from center to vertices)
a^2=196

solve for b^2
plug-in coordinates of given point on the curve(-5, 21)

25/b^2=2.25-1=1.25
b^2=25/1.25
b^2=20
equation:
RELATED QUESTIONS
Find an equation for the hyperbola that satisfies the given conditions: Vertices: (0,... (answered by lwsshak3)

write an equation for the hyperbola that satisfies each set of conditions. vertices... (answered by lwsshak3)

Write the equation for the hyperbola that satisfies the conditions: vertices (-5, 0) and... (answered by lwsshak3)

Find an equation for the hyperbola that satisfies the given conditions. Asymptotes: y... (answered by lwsshak3)

Find an equation for the hyperbola that satisfies the given conditions. State the... (answered by lwsshak3)

Please help me with this question. Find an equation for the hyperbola that... (answered by ewatrrr,advanced_Learner)

write an equation for the hyperbola that satisfies the given set of conditions. vertices (answered by lwsshak3)

Find an equation for the hyperbola and Satisfies the given conditions. Foci(+-5,0),... (answered by josgarithmetic)

Find an equation of the ellipse that satisfies the given conditions. Vertices are... (answered by gonzo)