Answer:
Your answer choice is appropriate
Step-by-step explanation:
The orientation is vertical, so the parent function is
... y² - x² = 1
The vertical offset is -3 and the horizontal offset is positive, so the variables will be of the form (y+3)² and (x-something)². At this point, you're able to choose the correct answer.
The distance center to vertex is 13, so we know the y-term denominator is 13². We cannot tell from this graph what the x-term denominator should be, but all the answer choices are in agreement that it should be 81.
The appropriate choice is ...
... (y+3)²/169 - (x-2)²/81 = 1
