- 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


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