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Analyzing Parabolas Basic Parabola:

Analyzing Parabolas

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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. - PowerPoint PPT Presentation

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Page 1: Analyzing Parabolas

Analyzing ParabolasBasic Parabola:

Page 2: Analyzing Parabolas

Analyzing ParabolasParabola with Vertical Translation:

Page 3: Analyzing Parabolas

Analyzing ParabolasParabola with Vertical Translation:

Page 4: Analyzing Parabolas

Analyzing ParabolasAll of these parabolas are congruent and open upward.

Page 5: Analyzing Parabolas

Analyzing ParabolasParabola with Vertical Reflection:

Page 6: Analyzing Parabolas

Analyzing ParabolasParabola with Vertical Reflection and Translation:

Page 7: Analyzing Parabolas

Analyzing ParabolasAll of these parabolas have been congruent, so far.

Page 8: Analyzing Parabolas

Analyzing ParabolasA scale factor will change the shape of the parabola.

Page 9: Analyzing Parabolas

Analyzing ParabolasThe quadratic equation has a scale factor of 1.

Page 10: Analyzing Parabolas

Analyzing ParabolasThe quadratic equation has a stretch factor of 4.

Page 11: Analyzing Parabolas

Analyzing ParabolasThe quadratic equation has a shrink factor of .

Page 12: Analyzing Parabolas

Analyzing ParabolasParabolas with different stretch or shrink factors are not congruent.

Page 13: Analyzing Parabolas

Analyzing ParabolasAll of these parabolas have been centred, with an axis of symmetry of

Page 14: Analyzing Parabolas

Analyzing ParabolasParabola with Horizontal Translation:

Page 15: Analyzing Parabolas

Analyzing ParabolasParabola with Horizontal Translation:

Axis of Symmetry:

Page 16: Analyzing Parabolas

Analyzing ParabolasParabola with Horizontal Translation:

Page 17: Analyzing Parabolas

Analyzing ParabolasParabola with Horizontal Translation:

Axis of Symmetry:

Page 18: Analyzing Parabolas

Analyzing ParabolasWhat would the graph of look like?

Page 19: Analyzing Parabolas

Analyzing ParabolasWhat would the graph of look like?

Page 20: Analyzing Parabolas

Analyzing ParabolasWhat would the graph of look like?

Analysis:- opens downward- vertical stretch factor of 2- vertex at (-3, 1)- axis of symmetry: - maximum value is 1

Page 21: Analyzing Parabolas

Analyzing ParabolasWhat would the graph of look like?

Page 22: Analyzing Parabolas

Analyzing ParabolasWhat would the graph of look like?

Page 23: Analyzing Parabolas

Analyzing ParabolasAnalyze the graph of

Analysis:- opens upward- vertical shrink factor of - vertex at (2, -3)- axis of symmetry: - minimum value is -3

Page 24: Analyzing Parabolas

Analyzing ParabolasWhat would the graph of look like?

Page 25: Analyzing Parabolas

Analyzing ParabolasWhat would the graph of look like?

Page 26: Analyzing Parabolas

Analyzing ParabolasAnalyze the graph of

Analysis:- opens upward- vertical stretch factor of 10- vertex at (-5, 1)- axis of symmetry: - minimum value is 1