SOLUTION: what is the length of the transverse axis of the hyperbola defined by the equation (y+3)^2/7^2- (x+3)^2/3^2=1

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Question 624475: what is the length of the transverse axis of the hyperbola defined by the equation (y+3)^2/7^2- (x+3)^2/3^2=1
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
 

Hi,

what is the length of the transverse axis of the hyperbola defined by the equation 

(y+3)^2/7^2- (x+3)^2/3^2=1  

length of the transverse axis = 14, the distance between the vertices along x = -3





Standard Form of an Equation of an Hyperbola opening up and down is:

  %28y-k%29%5E2%2Fb%5E2+-+%28x-h%29%5E2%2Fa%5E2+=+1 with C(h,k) and vertices 'b' units up and down from center, 2b the length of the transverse axis 

Foci sqrt%28a%5E2%2Bb%5E2%29units units up and down from center, along x = h

& Asymptotes Lines passing thru C(h,k), with slopes m =  ± b/a



Standard Form of an Equation of an Hyperbola opening right and  left is:

  %28x-h%29%5E2%2Fa%5E2+-+%28y-k%29%5E2%2Fb%5E2+=+1 with C(h,k) and vertices 'a' units right and left of center,  2a the length of the transverse axis 

Foci are sqrt%28a%5E2%2Bb%5E2%29 units right and left of center along y = k

& Asymptotes Lines passing thru C(h,k), with slopes  m =  ± b/a