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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Asked Dec 25, 2019
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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

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Expert Answer

Step 1

We divide both sides by -1.

So it is an equation of circle.

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-(x+1)²-(y+6)°=-16 -(x+1)°-(y+6)² -16 -1 -1 (x+1)²+(y+6)*=16

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Step 2

Compare the equation with sta...

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(x+1)²+(y+6)*=16 (x-h)²+(y-k)²=r? h=-1,k=-6 r?=16 r=4

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