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Parabolas

Parabolas. Advanced Geometry Conic Sections Lesson 3. Axis of Symmetry. Definition – the set of all points in a plane that are the same distance from a given point, called the focus, and a given line called the directrix. F. p. p. V. Directrix.

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Parabolas

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  1. Parabolas Advanced Geometry Conic Sections Lesson 3

  2. Axis of Symmetry Definition – the set of all points in a plane that are the same distance from a given point, called the focus, and a given line called the directrix F p p V Directrix

  3. Horizontal Axis Vertical Axis of Symmetry of Symmetry

  4. Example: For the equation of each parabola, find the coordinates • of the vertex and focus, the equations of the directrix and axis of symmetry. Then graph the equation.

  5. Example: For the equation of each parabola, find the coordinates • of the vertex and focus, the equations of the directrix and axis of symmetry. Then graph the equation.

  6. Example: • Using the graph below, write the equation for the parabola.

  7. Example: • Using the graph below, write the equation for the parabola.

  8. Example: • Write the equation of the parabola that meets each set of conditions. The vertex is (-4, 5), the parabola opens to the left, and the focus is 5 units from the vertex.

  9. Example: • Write the equation of the parabola that meets each set of conditions. The parabola has a focus of and a minimum point at (-1, -1).

  10. Example: • Solve for x.

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