# How to identify conic sections

Steps to Identify Conic Sections From General Form The general equation for any conic section is Ax 2 +Bxy+Cy 2 +Dx+Ey+F = 0, where A, B, C, D, E, F are constants. 1. If A and C

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## Alternative Ways of Identifying Conic Sections

Part 1 of identifying and graphing conic sections. Examples: 9x 2 + 4y 2 + 54x - 8y + 49 = 0 Identifying a hyperbola from an equation Part 2 of identifying and graphing conic sections.

## Identifying Conic Sections from their Equation

There are three ways to identify a conic section: using its graph’s shape, its eccentricity, or using the coefficients of the equation representing the conic section. Remember these examples of conic sections as shown below to

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## Conic Sections and Standard Forms of Equations

xy = 4. Hyperbola. Identify the following equation as that of a line, a circle, an ellipse, a parabola, or a hyperbola. x + y = 5. line. Identify the following equation as that of a line, a circle, an ellipse