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1.2A Linear and Absolute Value notes
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August 21, 2017
Aug 158:42 PM
1.2 Linear and Absolute Value Functions
WarmupGraph the point and its reflection. Label the points A, B and C
A. point (5, 2) reflected in xaxis
B. point (1, 0) reflected in yaxis
C. point (3, 3) reflected in the line through (5, 1) and (2, 1)
A
B
C
1.2A Linear and Absolute Value notes
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August 21, 2017
Aug 211:43 PM
1.2A Linear and Absolute Value notes
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August 21, 2017
Aug 158:42 PM
1.2 Linear and Absolute Value Functions
Translations
Horizontal Translations:
The graph of is a horizontal translation ofof h units.
If h is positive, the graph moves right h units.
If h is negative, the graph moves right h units.
1.2A Linear and Absolute Value notes
4
August 21, 2017
Aug 158:42 PM
1.2 Linear and Absolute Value Functions
Vertical Translations:
The graph of is a vertical translation ofof k units.
If k is positive, the graph moves up k units.
If k is negative, the graph moves down k units.
1.2A Linear and Absolute Value notes
5
August 21, 2017
Aug 158:42 PM
1.2 Linear and Absolute Value Functions
Ex. 1 Let
a. Write a function g that translates f 3 units down.
b. Write a function h that translates f 4 units right.
1.2A Linear and Absolute Value notes
6
August 21, 2017
Aug 158:42 PM
1.2 Linear and Absolute Value Functions
Ex. 2
Write a rule for each of the following translations for the parent function
a. Up 4 units
b. Left 2 units
c. Right 1 unit
d. Down 6 units
e. Up 2 units, and left 3 units
f. Right 4 units, and down 1 unit
1.2A Linear and Absolute Value notes
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August 21, 2017
Aug 158:42 PM
Reflections
Reflections in the yaxis
The graph of is a vertical reflection of
Reflections in the xaxis
The graph of is a horizontal reflection of
1.2A Linear and Absolute Value notes
8
August 21, 2017
Aug 158:42 PM
Ex. 3
Let
a. Write a function g, whose graph is a reflection in the xaxis
b. Write a function h, whose graph is a reflection in the yaxis
1.2A Linear and Absolute Value notes
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August 21, 2017
Aug 158:42 PM
Ex. 4
1.2A Linear and Absolute Value notes
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August 21, 2017
Aug 158:42 PM
1.2A Linear and Absolute Value notes
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August 21, 2017
Aug 158:42 PM
