Use the equation (y+2)^2/4 - (x+3)^2/49 =1

Question

Find the center, vertices, and foci. Then graph.

Answer 1

Step 1:

The equation is

So the equation is in the standard form of the hyperbola.

Compare the above equation with

The center of the hyperbola is

Step 2:

The hyperbola has a transverse axis parallel to axis.

The foci of the hyperbola is

The vertices of the hyperbola is

Graph :

(1) Draw the coordinate plane.

(2) Draw the equation of the hyperbola.

(3) Plot the foci and vertices.

Solution :

The center of the hyperbola is

The hyperbola has a transverse axis parallel to axis.

The vertices of the hyperbola is

The foci of the hyperbola is