Which is the equation of a hyperbola with directrices at y = ±2 and foci at (0, 4) and (0, −4)?

Step-by-step explanation:

Step-by-step explanation:

The foci of the hyperbola 0, 4) and (0, −4) are on the y-axis.

This means that the vertices of the hyperbola are on the y-axis.

Such hyperbola has equation

The directrices of the hyperbola is given by:

We compare this to the given directrices: to get:

The foci of the hyperbola 0, 4) and (0, −4);

This implies that: or

We put c=4 into equation 1 to get:

Also recall that for the hyperbola; we have:

This implies that:

The equation of the hyperbola becomes:

10a^3+277a^2-132a-792

step-by-step explanation:

(2a+11)(5a-12)(foil)

=10a^2-24a+55a-132 =10a^2+31a-132

(10a^2+31a-132)(a+6)

=10a^3+60a^2+31a^2+186a^2-132a-792 =10a^3+277a^2-132a-792

i hope this is what you are looking for : )