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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