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ACT Opener:

ACT Opener:. Find when x= -6 and y = 3. a) -9 b) 54 c) 81 d) 126 e) 198. Conic Sections!. Conics Sections.

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ACT Opener:

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  1. ACT Opener: • Find when x= -6 and y = 3. a) -9 b) 54 c) 81 d) 126 e) 198

  2. Conic Sections!

  3. Conics Sections • A conic section is a curve formed by the intersection of a plane and a double cone. By changing the inclination of the plane, you can create a circle, a parabola, an ellipse, or a hyperbola.

  4. Quick Review: Domain & Range • What is domain and what is range? • How are the related to x and y in an equation?

  5. Quick Review: Domain & Range • Find the domain and range of the following equation:

  6. Example 1: Graphing a Circle • Graph the equation Describe the graph and its lines of symmetry. Then find the domain and range.

  7. Example 1: Graphing a Circle • How could we graph this using our calculators? • How would we have to manipulate the equation? • Why is there no point on the graph with an x-coordinate of 6?

  8. Student Check: • Graph the Equation . Describe the graph and the lines of symmetry. Find the domain and range. • Use your white boards.

  9. Student Check: • What is the shape of your graph? • How would we manipulate the equation so that we could graph it in the calculator?

  10. Interpreting Graphs • Identify the center and intercepts of the conic section. Then identify the domain and range.

  11. Student Check: • Identify the center and intercepts of the conic section. Then identify the domain and range.

  12. Partner Practice: • Pair up with your partner to complete the problem set. • Only complete the problems that have been circled. • You will have 15 minutes to complete.

  13. Partner Practice: Group 1: Justin & Tristan Group 2: Harley & Andrea Group 3: Kelly & Jessica Group 4: Taylor & Brando Group 5: Samantha & Trevor

  14. Exit Slip: Identify the domain and range of the following conic section. Domain: Range: Domain: Range: • The graph of which equation of a circle contains only the points in the table.

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