SOLUTION: what is the equation of a hyperbola centered on the origin with asymptotic lines of y=2x and y=-2x and a known vertex at (0,4)?

Question 725832: what is the equation of a hyperbola centered on the origin with asymptotic lines of y=2x and y=-2x and a known vertex at (0,4)?
Answer by lwsshak3(11628) (Show Source): You can put this solution on YOUR website!
what is the equation of a hyperbola centered on the origin with asymptotic lines of y=2x and y=-2x and a known vertex at (0,4)?
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This is a hyperbola with vertical transverse axis.
Its standard form of equation: , (h,k)=(x,y) coordinates of center
a=4(distance from center to vertex)
a^2=16
..
For hyperbolas with vertical transverse axis, slope of asymptotes=a/b=�2
a^2/b^2=4
b^2=a^2/4=16/4=4
...
Equation of given hyperbola:

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