The equation of the hyperbola is [tex]\rm \dfrac{x^2}{9} - \dfrac{y^2}{5} = 1[/tex]
What is the equation of a Hyperbola?
For the hyperbola centered at the origin (0,0) the equation is
[tex]\rm \dfrac{x^2}{a^2} - \dfrac{y^2}{b^2} = 1[/tex]
The length of transverse axis = 6 = 2a
a = 3
Focus is at ([tex]\rm \pm[/tex] c, 0)
c ² = a² +b²
14 = 9 +b²
b = √5
Therefore, the equation of the hyperbola is [tex]\rm \dfrac{x^2}{9} - \dfrac{y^2}{5} = 1[/tex]
The graph that represents the hyperbola is attached with the answer.
To know more about Hyperbola
https://brainly.com/question/12919612
#SPJ2
