Unformatted text preview: and reﬂections are rigid
transformations.
A nonrigid transformation of a graph changes its shape.
A scaling is a nonrigid transformation. Outline Basic Functions Translations Reﬂections Scaling General Transformations Translations
Suppose y = f (x ) is function and c > 0 is a constant.
The graph of y = f (x ) + c is the graph of y = f (x ) shifted up
c units.
The graph of y = f (x ) − c is the graph of y = f (x ) shifted
down c units.
The graph of y = f (x − c ) is the graph of y = f (x ) shifted
right c units.
The graph of y = f (x + c ) is the graph of y = f (x ) shifted
left c units.
Example 3
4 Graph y = (x − 2)2 − 5. 2 Graph y = √ x + 1.
1
Graph y =
.
x −4
Graph y = x  + 3. 1 Outline Basic Functions Translations Reﬂections Scaling General Transformations Reﬂections Suppose y = f (x ) is function.
The graph of y = −f (x ) is the graph of y = f (x ) reﬂected
across the x axis.
The graph of y = f (−x ) is the graph of y = f (x ) reﬂected
across the y axis.
Example
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 Spring '14
 K.JPlatt
 Algebra, Derivative, Transformations, Binary relation, Graph of a function, basic functions, General Transformations

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