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

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Find the center, vertices, and foci. Then graph.
asked Dec 15, 2016 in PRECALCULUS by norabarranca Rookie
reshown Dec 15, 2016 by goushi

1 Answer

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Step 1:

The equation is image

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

Compare the above equation with image

The center of the hyperbola is image

image

Step 2:

The hyperbola has a transverse axis parallel to axis.

The foci of the hyperbola is image

The vertices of the hyperbola is image

Graph :

(1) Draw the coordinate plane.

(2) Draw the equation of the hyperbola.

(3) Plot the foci and vertices.
image

Solution :

The center of the hyperbola is image

The hyperbola has a transverse axis parallel to axis.

The vertices of the hyperbola is image

The foci of the hyperbola is image

image

answered Dec 15, 2016 by Anney Mentor

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