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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Analyzing ParabolasBasic Parabola:

Analyzing ParabolasParabola with Vertical Translation:

Analyzing ParabolasParabola with Vertical Translation:

Analyzing ParabolasAll of these parabolas are congruent and open upward.

Analyzing ParabolasParabola with Vertical Reflection:

Analyzing ParabolasParabola with Vertical Reflection and Translation:

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

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

Analyzing ParabolasThe quadratic equation has a scale factor of 1.

Analyzing ParabolasThe quadratic equation has a stretch factor of 4.

Analyzing ParabolasThe quadratic equation has a shrink factor of .

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

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

Analyzing ParabolasParabola with Horizontal Translation:

Analyzing ParabolasParabola with Horizontal Translation:

Axis of Symmetry:

Analyzing ParabolasParabola with Horizontal Translation:

Analyzing ParabolasParabola with Horizontal Translation:

Axis of Symmetry:

Analyzing ParabolasWhat would the graph of look like?

Analyzing ParabolasWhat would the graph of look like?

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

Analyzing ParabolasWhat would the graph of look like?

Analyzing ParabolasWhat would the graph of look like?

Analyzing ParabolasAnalyze the graph of

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

Analyzing ParabolasWhat would the graph of look like?

Analyzing ParabolasWhat would the graph of look like?

Analyzing ParabolasAnalyze 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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