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- 1 (1-3)2_(x + 2) O A. 169 81 (x+3)² (v- 2)² ( 2 OB. 81 169 1 (x-3) [v+2) 169 81 = : 1 O c. (+3)?_(x - 2) = 1 OD. 169 81

1 1 3 2 x 2 O A 169 81 x 3 ² v 2 ² 2 OB 81 169 1 x 3 v 2

Answer :

SOLUTION

Looking at the graph, the hyperbola is shifted to the left by 3 units

This makes

[tex]\begin{gathered} x-(-3 \\ =x+3 \end{gathered}[/tex]

And shifted up along the y-axis by 2 units to get

[tex]y-2[/tex]

Hence the best equation that will satisfy this is

[tex]\frac{(x+3)^2}{81}-\frac{(y-2)^2}{169}=1[/tex]

Therefore, option B is the correct answer

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