OpenStax, Algebra and Trigonometry 2e §12.4 Rotation of Axes · Example 3 · Geometry · Conic sections

Identifying a Conic from Its General Form

Identify the graph of each of the following nondegenerate conic sections.

ⓐ $4 x^{2} - 9 y^{2} + 36 x + 36 y - 125 = 0$
ⓑ $9 y^{2} + 16 x + 36 y - 10 = 0$
ⓒ $3 x^{2} + 3 y^{2} - 2 x - 6 y - 4 = 0$
ⓓ $- 25 x^{2} - 4 y^{2} + 100 x + 16 y + 20 = 0$

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OpenStax, Algebra and Trigonometry 2e · §12.4 Rotation of Axes · Example 3

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