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Analyzing Parabolas

Analyzing Parabolas. Basic Parabola: . Analyzing Parabolas. Parabola with Vertical Translation: . Analyzing Parabolas. Parabola with Vertical Translation: . Analyzing Parabolas. All of these parabolas are congruent and open upward. Analyzing Parabolas.

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Analyzing Parabolas

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  1. Analyzing Parabolas Basic Parabola:

  2. Analyzing Parabolas Parabola with Vertical Translation:

  3. Analyzing Parabolas Parabola with Vertical Translation:

  4. Analyzing Parabolas All of these parabolas are congruent and open upward.

  5. Analyzing Parabolas Parabola with Vertical Reflection:

  6. Analyzing Parabolas Parabola with Vertical Reflection and Translation:

  7. Analyzing Parabolas All of these parabolas have been congruent, so far.

  8. Analyzing Parabolas A scale factor will change the shape of the parabola.

  9. Analyzing Parabolas The quadratic equation has a scale factor of 1.

  10. Analyzing Parabolas The quadratic equation has a stretch factor of 4.

  11. Analyzing Parabolas The quadratic equation has a shrink factor of .

  12. Analyzing Parabolas Parabolas with different stretch or shrink factors are not congruent.

  13. Analyzing Parabolas All of these parabolas have been centred, with an axis of symmetry of

  14. Analyzing Parabolas Parabola with Horizontal Translation:

  15. Analyzing Parabolas Parabola with Horizontal Translation: Axis of Symmetry:

  16. Analyzing Parabolas Parabola with Horizontal Translation:

  17. Analyzing Parabolas Parabola with Horizontal Translation: Axis of Symmetry:

  18. Analyzing Parabolas What would the graph of look like?

  19. Analyzing Parabolas What would the graph of look like?

  20. Analysis: • opens downward • vertical stretch factor of 2 • vertex at (-3, 1) • axis of symmetry: • maximum value is 1 Analyzing Parabolas What would the graph of look like?

  21. Analyzing Parabolas What wouldthe graph of look like?

  22. Analyzing Parabolas What wouldthe graph of look like?

  23. Analyzing Parabolas Analyze the graph of • Analysis: • opens upward • vertical shrink factor of • vertex at (2, -3) • axis of symmetry: • minimum value is -3

  24. Analyzing Parabolas What wouldthe graph of look like?

  25. Analyzing Parabolas What wouldthe graph of look like?

  26. Analyzing Parabolas Analyze the graph of • Analysis: • opens upward • vertical stretch factor of 10 • vertex at (-5, 1) • axis of symmetry: • minimum value is 1

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