To match the rigid transformation.
Answer to Problem 4E
(iv) A vertical shift of f , c units up | |
(ii) A vertical shift of f , c units down | |
(i) A horizontal shift of f , c units to the right | |
(iii) A horizontal shift of f , c units to the left |
Explanation of Solution
Given information:
The rigid transformation of
Graphs can be obtained from combinations of vertical and horizontal shifts. Both of them are usedto generate a family of functions, each with same shape but a different location in the plane.
Here, c is a positive real number.
When the graph moves vertically in upward direction by c units it is represented as
These two are the forms of Vertical Shifts.
If the graph moves horizontal i.e. towards left by c units is represented as
These two forms comes under Horizontal Shifts.
Chapter 1 Solutions
EBK PRECALCULUS W/LIMITS
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- Calculus: Early TranscendentalsCalculusISBN:9781319050740Author:Jon Rogawski, Colin Adams, Robert FranzosaPublisher:W. H. FreemanCalculus: Early Transcendental FunctionsCalculusISBN:9781337552516Author:Ron Larson, Bruce H. EdwardsPublisher:Cengage Learning