I just got a tutor to help me with this but realize I have a question now!Should both denominators be simplified further? For example, shouldn't 6^2 be 36 and 8^2 should be 64??

I just got a tutor to help me with this but realize I have a question nowShould both denominators be simplified further For example shouldnt 62 be 36 and 82 sho class=

Respuesta :

Answer:

The standard form of a hyperbola is given below as

[tex]\begin{gathered} \frac{(x-h)^2}{a^2}-\frac{(y-k)^2}{b^2}=1 \\ around\text{ the origin,we will have the equation to be} \\ \frac{x^2}{a^2}-\frac{y^2}{b^2}=1 \end{gathered}[/tex]

Given that the equation of the hyperbola is given below as

[tex]\frac{y^2}{6^2}-\frac{x^2}{8^2}=1[/tex]

Therefore,

The standard form of a hyperbola should be left like that

Except if asked otherwise in an objective question with options