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Section 10.6: Translating Conic Sections

Section 10.6: Translating Conic Sections. What You’ll Learn: to translate conic sections and write and identify the equation of translated conic section Why: to use location navigation systems. Writing Equations of Translated Conic Sections. 2. Write the equation of each conic section:

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Section 10.6: Translating Conic Sections

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  1. Section 10.6: Translating Conic Sections What You’ll Learn: to translate conic sections and write and identify the equation of translated conic section Why: to use location navigation systems

  2. Writing Equations of Translated Conic Sections 2

  3. Write the equation of each conic section: Ellipse with center (-3,-2); vertical major axis of length 8; minor axis of length 6. Hyperbola with vertices (0,1) and (6,1) and foci (-1,1) and (7,1) Translate each of the following situations 3 units up and 2 units left. x2/4 – y2/16 = 1 x2 + y2 = 9 x2/4 + y2/16 = 1 Example 1

  4. Example 2 • Identify the conic section with equation 4x2 + y2 – 24x + 6y + 9 = 0 • Identify the conic section represented by each equation: • x2 + 14x – 4y + 29 = 0 • x2 + y2 – 12x + 4y = 8 • Describe the translation that would produce the equation x2 – 2y2 + 6x – 7 = 0

  5. Homework Section 10-6 HW pages 495-496: 1-21 (no graphs) Any questions that involve writing or explaining should be done in complete sentences and show critical thinking skills. 5

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