SOLUTION: Find the standard form of the equation of the hyperbola with the given characteristics and center at the origin. Vertices: (�1, 0); asymptotes: y = �7x

Question 759156: Find the standard form of the equation of the hyperbola with the given characteristics and center at the origin.
Vertices: (�1, 0); asymptotes: y = �7x
Answer by lwsshak3(11628) (Show Source): You can put this solution on YOUR website!
Find the standard form of the equation of the hyperbola with the given characteristics and center at the origin.
Vertices: (�1, 0); asymptotes: y = �7x
***
Given hyperbola has a horizontal transverse axis as noted from given coordinates of vertices:
Standard form of equation: ,(h,k)=(x,y) coordinates of center
Given center:(0,0)
a=1(distance from center to vertices)
a^2=1
..
slope of asymptotes=�7
slopes of asymptotes of hyperbolas with horizontal transverse axis=b/a=�7
b=�7a
b=49a^2=49
Standard form of equation of the hyperbola:
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