Answer:
The answer to your question is:th first option is correct.
Step-by-step explanation:
Here we have and hyperbola with center (0, 1), and the hyperbola is horizontal because x² is positive.
Equation
y - k = ±[tex]\frac{b}{a} (x - h)[/tex]
Process
Find a, b
a² = 9
a = 3
b² = 5
b = √5
h = 0 and k = 1
Substitution
y - 1 = ±[tex]\frac{√5}{3} (x - 0)[/tex]
Equation 1
y = [tex]\frac{\sqrt{5} }{3} x + 1[/tex]
Equation 2
y = - [tex]\frac{\sqrt{5} }{3} x + 1[/tex]
