SOLUTION: what is the length of the transverse axis of the hyperbola defined by the equation below (y-3)2/4 2

SOLUTION: what is the length of the transverse axis of the hyperbola defined by the equation below (y-3)2/4 2 - (x+5)2 / 2 2=1

Question 953443: what is the length of the transverse axis of the hyperbola defined by the equation below (y-3)2/4 2 - (x+5)2 / 2 2=1

Answer by MathLover1(20850) (Show Source): You can put this solution on YOUR website!
Standard form of hyperbola with axis:
, with (,) being the (,) coordinates of the center.
Standard form of hyperbola with axis:
, with (,) being the (,) coordinates of the center.
The difference between these two forms is that the and terms are interchanged.
Given equation of hyperbola:

This is a hyperbola of the 2nd form listed. It has a vertical transverse axis with center at (3,-5).

=>distance from center to vertex
Length of transverse axis is the distance between vertices; so, =>
See the graph below for visual evidence of the algebra above:

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