Finding the Standard Equation of a Hyperbola In Exercises 41-48, find the standard form of the equation of the hyperbola with the given characteristics.
To calculate: The equation of hyperbola with the Center , vertex and focus .
The characteristics of hyperbola: center , vertex , focus .
The standard equation of hyperbola,
Since the provided equation has y changing vertex in it.
Therefore, the provided hyperbola is of the second type where the transverse axis is the .
Now, it is given that the centre of the hyperbola is and the distance from the centre to the vertex is 2.
Therefore, the value of
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