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1310-Notes-Sec-34

# 1310-Notes-Sec-34 - Math 1310 Section 3.4 Transforming...

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Math 1310 Class Notes – Section 3.4, Page 1 of 10 Math 1310 Section 3.4 Transforming Functions In my opinion, this is the most important section of the semester . In future courses, you will need to be able to sketch the graph of a function quickly and accurately. You can use transformations to do this. To introduce this topic, we’ll use the function ( ) . f x x = Here is the graph of this function: Translating graphs We’ll start with translations . To translate a graph means to shift it horizontally, vertically or both. Vertical shifting: To graph 0 , ) ( = c c x f y , start with the graph of ) ( x f and shift it upward c units. To graph 0 , ) ( - = c c x f y , start with the graph of ) ( x f and shift it downward c units. Horizontal shifting: To graph , 0 ), ( = c c x f y start with the graph of ) ( x f and shift it left c units. To graph , 0 ), ( - = c c x f y start with the graph of ) ( x f and shift it right c units. Example 1: Sketch a graph of ( ) 2 f x x = + .

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Math 1310 Class Notes – Section 3.4, Page 2 of 10 Example 2: Sketch a graph of ( ) 3 f x x = - Example 3: Sketch a graph of ( ) 1 f x x = + .
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1310-Notes-Sec-34 - Math 1310 Section 3.4 Transforming...

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