Find an equation in standard form for the hyperbola with vertices at (0, ±2) and foci at (0, ±11).

Step-by-step explanation:

The standard form of hyperbola centered at origin is given by:

            ....[1]

where,

vertices and foci are and respectively.

As per the statement:

The hyperbola with vertices at (0, ±2) and foci at (0, ±11).

⇒a = 2 and c = 11

⇒ and

To find :

Using the equation:

then;

⇒

Substitute the given values in [1] we have;

Therefore, an equation in standard form for the hyperbola with vertices at (0, ±2) and foci at (0, ±11) is,

the correct answer is d

hope this

step-by-step explanation:

i found the koficent of the linear function and i foun c acordind to the strict formula y=kx+c and then i took 2 as an x and replacet it on the formula i found and then foun the y