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9.2 Graph and Write Equations of Parabolas

9.2 Graph and Write Equations of Parabolas. Content Objectives: Students will be able to graph and write equations of parabolas that open to the left and the right. Language Objectives: Students will translate equations into graphs and graphs into equations after taking notes and pair share.

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9.2 Graph and Write Equations of Parabolas

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  1. 9.2 Graph and Write Equations of Parabolas Content Objectives: Students will be able to graph and write equations of parabolas that open to the left and the right. Language Objectives: Students will translate equations into graphs and graphs into equations after taking notes and pair share.

  2. Key Vocabulary Focus – the point that lies on the axis of symmetry, equidistant from the vertex Directrix – a line that is perpendicular to the axis of symmetry, equidistant from the vertex Parabola – u-shaped graph from a quadratic Vertex – the peak of the parabola

  3. The standard form of the equation of a parabola with vertex at (0,0) is as follows:

  4. Graph . Identify the focus, directrix, and axis of symmetry.

  5. Graph . Identify the focus, directrix, and axis of symmetry.

  6. Write an equation for the parabola below.

  7. Graph . Identify the focus, directrix, and axis of symmetry.

  8. Graph . Identify the focus, directrix, and axis of symmetry.

  9. Graph . Identify the focus, directrix, and axis of symmetry.

  10. Write the standard form of the equation of the parabola with vertex at (0,0) and the directrix: y = 2

  11. Write the standard form of the equation of the parabola with vertex at (0,0) and the directrix: x = 4

  12. Write the standard form of the equation of the parabola with vertex at (0,0) and the focus: (-2,0)

  13. Write the standard form of the equation of the parabola with vertex at (0,0) and the focus: (0,3)

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