Question

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??

Answer 1

The standard form of a hyperbola is given below as

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

Given that the equation of the hyperbola is given below as

`(y^2)/(6^2)-(x^2)/(8^2)=1`

Therefore,

The standard form of a hyperbola should be left like that

Except if asked otherwise in an objective question with options