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Section 2.1 Translationssoln.notebook
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October 05, 2017
Oct 104:13 PM
Unit 2: Function Transformations
Chapter 1 in textbook!
Oct 104:15 PM
Transformation The graph of a function may be changed either by shifting, stretching or compressing, or applying a reflection.
Types of Transformations
1. Reflection on the xaxis
2. Reflection on the yaxis
3. Vertical Stretch
4. Horizontal Stretch
5. Horizontal Translation
6. Vertical Translation
Combined Transformation
> Reflection, Stretch and Translate
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Section 2.1 Translationssoln.notebook
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October 05, 2017
Oct 104:23 PM
Section 2.1: Vertical and Horizontal Translations
Oct 104:25 PM
Translation the graph of the function moves:
Up/down (Vertical translation)
Right/Left (horizontal Translation)
Vertical Translation: y= f(x) + k
Two CasesK 0
Case 1: k > 0
(i) How do the coordinates of the point change?
(ii) Write the mapping rule
(iii) What translation would occur if k was a negative value?
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Section 2.1 Translationssoln.notebook
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October 05, 2017
Oct 104:31 PM
Case 2: k
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Section 2.1 Translationssoln.notebook
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October 05, 2017
Oct 104:33 PM
Horizontal Translations: y=f(x h )
Two Cases
h > 0
h 0
(i) How do the coordinates of the point change?
(ii) Write the mapping rule
(iii) What translation would occur if h was a negative value?
Oct 104:37 PM
Case 2: h
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Section 2.1 Translationssoln.notebook
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October 05, 2017
Oct 104:39 PM
Oct 104:40 PM
Given the graph of y = f(x), identify the parameters h and k and create a mapping rule for each of the transformations below. Graph the transformed function.
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Section 2.1 Translationssoln.notebook
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October 05, 2017
Oct 104:44 PM
Oct 104:45 PM
Determine the values of h and k and write the equation for the translated graph for each of the following.
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Section 2.1 Translationssoln.notebook
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October 05, 2017
Oct 104:46 PM
Oct 104:47 PM
For each transformation, identify the values of h and k and write the equation of the transformed function y = f(xh) + k
(i) f(x) = |x| translated 4 units to the left and 6 units up.
(ii) f(x) = translated 1 unit to the right and 3 units down.
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Section 2.1 Translationssoln.notebook
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October 05, 2017
Oct 104:48 PM
What horizontal translation is applied to
if the translation image graph passes through the point (5, 10)?
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