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Learn how to identify the characteristics of conic sections using the general form equation. Differentiate between ellipses, hyperbolas, parabolas, and circles effortlessly.
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General Form • + Cx + Dy + E = 0 • This can be used to identify certain characteristics about each type of conic
+ Cx + Dy + E = 0 This term complicates things… we’ll leave it for Precal. All conic sections can be written in the general form Ax2 + Bxy + Cy2 + Dx + Ey+ F = 0. All conic sections can be written in the general form Ax2 + Bxy + Cy2 + Dx + Ey+ F = 0. How many squared terms? Are and both present? Do they have the same sign? Do they havethe samecoefficients? two yes yes Circle one no Parabola no Hyperbola Ellipse
ellipse • Identify each of the given conics ellipse hyperbola parabola parabola circle hyperbola ellipse parabola