Problem

Complete the squares and normalize \(16x^2~+~9y^2~+~64x~-~18y~=~71\). Give the ellipse's standard form, center, semiaxis lengths, major-axis orientation, and major and minor axis lengths.

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The standard form is (x + 2)²/9 + (y - 1)²/16 = 1; the center is (-2, 1); the semiaxis lengths are 4 and 3; the major axis is vertical; and the major and minor axis lengths are 8, 6.

The standard form is (x + 2)²/9 + (y - 1)²/16 = 1; the center is (-2, 1); the semiaxis lengths are 4 and 3; the major axis is horizontal; and the major and minor axis lengths are 8 and 6.

The standard form is (x + 2)²/16 + (y - 1)²/9 = 1; the center is (-2, 1); the semiaxis lengths are 4 and 3; the major axis is horizontal; and the major and minor axis lengths are 8 and 6.

The standard form is (x - 2)²/9 + (y + 1)²/16 = 1; the center is (2, -1); the semiaxis lengths are 4 and 3; the major axis is vertical; and the major and minor axis lengths are 8 and 6.

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Complete the squares and normalize \(16x^2~+~9y^2~+~64x~-~18y~=~71\). Give the ellipse's standard form, center, semiaxis lengths, major-axis orientation, and major and minor axis lengths.

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