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.

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

Its source prints no answer for this problem, so there's nothing to check against.

~5 minWritten answer · check your work with Lemma

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

Stuck? A gentle nudge

No hints for this one.

Something off?

Workspace

Your working

Check your full solution

Attach photos of your pages (up to 3) or one PDF — or check what you typed above. Lemma reads the work and verifies the reasoning, not just the answer.

Your first check today doesn't need an account.

Your photos and PDFs are read once and not stored — only the transcription is kept.