# For Exercise, identify each equation as representing a circle, an ellipse, a hyperbola, or a parabola.• If the equation represents a circle, identify the center and radius.• If the equation represents an ellipse, identify the center, vertices, endpoints of the minor axis, foci, and eccentricity.• If the equation represents a hyperbola, identify the center, vertices, foci, equations of the asymptotes, and eccentricity.• If the equation represents a parabola, identify the vertex, focus, equation of the directrix, and equation of the axis of symmetry.−(x + 1)2 − (y + 6)2 = −16

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For Exercise, identify each equation as representing a circle, an ellipse, a hyperbola, or a parabola.

• If the equation represents a circle, identify the center and radius.

• If the equation represents an ellipse, identify the center, vertices, endpoints of the minor axis, foci, and eccentricity.

• If the equation represents a hyperbola, identify the center, vertices, foci, equations of the asymptotes, and eccentricity.

• If the equation represents a parabola, identify the vertex, focus, equation of the directrix, and equation of the axis of symmetry.

−(x + 1)2 − (y + 6)2 = −16

check_circle

Step 1

We divide both sides by -1.

So it is an equation of circle.

Step 2

Compare the equation with sta...

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