1. 3.2 Notes.notebook February 06, 2013
3.2 Reflecting Graphs of Functions
Reflections cause the points of a function to reflect across an axis.
1) If the points of f(x) reflect across the y axis this causes all x values to
become opposite.
Therefore we would say that y=f(­x) produces opposite x values and
is a reflection across the y axis.
2) Logically it follows that y=­f(x) produces opposite y values and is a
reflection across the x axis.
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2. 3.2 Notes.notebook February 06, 2013
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3. 3.2 Notes.notebook February 06, 2013
If the point (2,­4) is on f(x), then what point must be on:
a) f(­x) _________
b) ­f(x) _________
c) ­f(­x) _________
d) ­f(x+2) _________
e) f(2 ­ x) _________ This question is more difficult. It is necessary
to manipulate the bracket to get the correct
answer!
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4. 3.2 Notes.notebook February 06, 2013
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5. 3.2 Notes.notebook February 06, 2013
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6. 3.2 Notes.notebook February 06, 2013
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7. 3.2 Notes.notebook February 06, 2013
Draw a sketch of the original AND the reflected graph.
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8. 3.2 Notes.notebook February 06, 2013
Homework: Page 183
For many of these questions remember
reflected in the x axis means opposite y.
reflected in the y axis means opposite x.
#3­13 (Do #9 in class). Mult. Ch #1,2
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