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Precalculus
»
J.
Analytic Geometry
»
J.4.
Rotation of Conics
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Unit Challenge
Classifying Conic Sections
Overview
Classify the graph of the equation as a circle, parabola, ellipse, or hyperbola given a general equation
Use the discriminant to classify the graph as a parabola, ellipse, or hyperbola
Rotation
Overview
Find the coordinates of the point in the rotated coordinate system
Rotate the axes of a hyperbola to eliminate the xy-term and then write the equation in standard form
Rotate the axes of an ellipse to eliminate the xy-term and then write the equation in standard form
Rotate the axes of a parabola to eliminate the xy-term and then write the equation in standard form
Sketch the graph of the rotated conic
Rotation — Rotate the axes of a hyperbola to eliminate the xy-term and then write the equation in standard form
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