Day 2 ­ Horizontal and Vertical Translation after.notebook
September 10, 2015
Catalog of Essential Functions
Straight Line
Equation will be degree one
Should be able to identify the slope, intercepts, and equation from the graph
Parabola (U­Shaped)
Either y or x will be squared (not both!)
Should know the 4 basic quadratic functions
Should be able to apply transformations to the basic quadratic functions
S­Shaped
We will work with functions that are raised to the third power
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Day 2 ­ Horizontal and Vertical Translation after.notebook
September 10, 2015
Catalog of Essential Functions
V­Shaped
Equation will have a variable within the absolute value bars
Should be able to apply transformations to the basic absolute value function
Half Parabola
Equation will have a variable under the square root sign
Should be able to apply transformations to the basic square root function
Steadily increasing or decreasing
Base will be a number and variable will appear in the exponent
Should be able to identify the horizontal asymptote
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Day 2 ­ Horizontal and Vertical Translation after.notebook
September 10, 2015
Catalog of Essential Functions
Will have two branches
Equation will have a variable within the denominator of a rational expression
Should be able to identify the vertical and horizontal asymptotes
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Day 2 ­ Horizontal and Vertical Translation after.notebook
September 10, 2015
Transformations:
New Functions From Old Functions
Translations
Stretches
Reflections
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Day 2 ­ Horizontal and Vertical Translation after.notebook
September 10, 2015
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Day 2 ­ Horizontal and Vertical Translation after.notebook
September 10, 2015
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Day 2 ­ Horizontal and Vertical Translation after.notebook
September 10, 2015
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Day 2 ­ Horizontal and Vertical Translation after.notebook
September 10, 2015
Translations illustrated...
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Day 2 ­ Horizontal and Vertical Translation after.notebook
September 10, 2015
Using Mapping Notation to Describe Transformations:
*Think of this as a set of instructions to follow to transform a graph.
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Day 2 ­ Horizontal and Vertical Translation after.notebook
September 10, 2015
Identify the translations for each of the following and sketch the
transformation
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Day 2 ­ Horizontal and Vertical Translation after.notebook
September 10, 2015
Determine the Equation of a Translated Function:
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Day 2 ­ Horizontal and Vertical Translation after.notebook
September 10, 2015
Homework
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