Horizontal shrinking - PowerPoint PPT Presentation

Section 1.6 Transformation of Functions

Section 1.6 Transformation of Functions. Graphs of Common Functions. Reciprocal Function. Vertical Shifts. Vertical Shifts. Example. Use the graph of f(x)=|x| to obtain g(x)=|x|-2. Horizontal Shifts. Horizontal Shifts. Example. Use the graph of f(x)=x 2 to obtain g(x)=(x+1) 2.

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Vertical Stretching or Shrinking of the Graph of a Function

Vertical Stretching or Shrinking of the Graph of a Function. Suppose that a &gt; 0. If a point ( x , y ) lies on the graph of y = ( x ), then the point ( x , ay ) lies on the graph of y = a ( x ).

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Activity 26:

Activity 26:. Transformations of Functions (Section 3.4, pp. 247-255). Vertical Shifting:. Suppose c &gt; 0. To graph y = f(x) + c, shift the graph of y = f(x) UPWARD c units. To graph y = f(x) − c, shift the graph of y = f(x) DOWNWARD c units. Horizontal Shifting:. Suppose c &gt; 0.

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