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Unformatted text preview: 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 . ) ( 2 x x f = 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 , ) ( + = c c x f y , start with the graph of ) ( x f and shift it upward c units. To graph , ) (- = c c x f y , start with the graph of ) ( x f and shift it downward c units. Horizontal shifting: To graph , ), ( + = c c x f y start with the graph of ) ( x f and shift it left c units. To graph , ), (- = 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 ) 2 ( ) ( + = x x f . Math 1310 Class Notes – Section 3.4, Page 2 of 10 Example 2: Sketch a graph of...
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This note was uploaded on 02/22/2012 for the course MATH 1310 taught by Professor Marks during the Summer '08 term at University of Houston.
- Summer '08