2016 Revised Alabama Course of Study Mathematics.pdf

A rei8 conic sections understand the graphs and

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[A-REI8] Conic Sections Understand the graphs and equations of conic sections. 15. Create graphs of conic sections, including parabolas, hyperbolas, ellipses, circles, and degenerate conics, from second-degree equations. Example: Graph x 2 – 6 x + y 2 – 12 y + 41 = 0 or y 2 – 4 x + 2 y + 5 = 0. a. Formulate equations of conic sections from their determining characteristics. Example: Write the equation of an ellipse with center (5, -3), a horizontal major axis of length 10, and a minor axis of length 4. Answer: 2 2 ( 5) ( 3) 1. 25 4 x y + + =
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