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Verified Answer :

Nirina7

the main formula is  (y-h)² /b² - (x-k)²/a² = 1
the transverse axis is vertical and can be found by 2b
b² = 16, so b=4, and the measure is D=2b=8

SociometricStar

Answer:

The length of the transverse axis is 8

Step-by-step explanation:

We have been given the equation of hyperbola

\(\frac{(y-2)^2}{16}-\frac{(x+1)^2}{144}=1\)

We can rewrite this equation as

\(\frac{(y-2)^2}{4^2}-\frac{(x+1)^2}{12^2}=1\)

Comparing this equation with the standard equation of hyperbola having vertical transverse axis is

\(\frac{(y-k)^2}{a^2}-\frac{(x-h)^2}{b^2}=1\)

h = -1

k= -2

a = 4

b = 12

The length of the transverse axis is 2a = 2×4 =8


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