Question

Write the following conic: 2x2 + y2 + 8x − 2y = −5 in standard form. Describe the conic (i.e. type and how it is shifted). Identify its vertices and foci; and sketch it indicating the major

and minor axes.

Answer #1

The conic is an ellipse

Equation of ellipse:

Center = (-2,1)

Vertices = (-2,3), (-2,-1)

Foci =

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