Precalculus » J. Analytic Geometry » J.4. Rotation of Conics

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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