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Transformations of Quadratic Functions

Explore the effects of changing values in parabolic functions

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Transformations and Vertex Form of Quadratic Functions

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Vocabulary

Word Definitiom
_________________ shifting left and right; change in the x-coordinate
Transformation _____________________________________________________________
Vertical Reflection _____________________________________________________________
Vertical Stretch _____________________________________________________________
_________________ shifting up and down; change in the y-coordinate

Transformations

What is the equation of the parent graph of quadratic functions? ____________________

To change the appearance of this graph, you use transformations. Transformations strech, compress, shift, or reflect the graph. 

.

For the following graphs, describe the transformations of .

   

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.

Vertex Form

Vertex form of a parabola is:  

Describe what each variable does:

  • : __________________________________________
  • __________________________________________
  • __________________________________________

What happens if  is negative? __________________________________________

.

Graph the following quadratic functions and identify the transformations.

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