Question

- 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

Answer 1

SOLUTION

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

This makes

$\begin{gathered} x-(-3 \\ =x+3 \end{gathered}$

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

$y-2$

Hence the best equation that will satisfy this is

$\frac{(x+3)^2}{81}-\frac{(y-2)^2}{169}=1$

Therefore, option B is the correct answer