If we were asked to write the transformations y =(x- 2)´ and y =(x+2)´ in terms of the original function f(x) = x² , we could say that y = (x – 2)' = f(x– 2) and y =(x+2)' = f(x+ 2) Summary of Horizontal Shifts If the argument x of a function f is replaced by x-h, h> 0, the graph of the new function y = f(x- h) is the graph of f_ If the argument x of a function fis replaced by x+h, h>0, the graph of the new function h units y = f(x+h) is the graph of f_ h units.

Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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If we were asked to write the transformations y = (x – 2)´ and y = (x+2)´ in terms of the original function
%3D
f(x) = x² , we could say that y = (x– 2) = f(x- 2) and y = (x + 2)' = f(x+ 2)
Summary of Horizontal Shifts
If the argument x of a function f is replaced by
x-h, h>0, the graph of the new function
y = f(x– h) is the graph of f_
If the argument x of a function fis replaced by
x+h, h > 0, the graph of the new function
h units
y = f (x+ h) is the graph of f_
h units.
Transcribed Image Text:If we were asked to write the transformations y = (x – 2)´ and y = (x+2)´ in terms of the original function %3D f(x) = x² , we could say that y = (x– 2) = f(x- 2) and y = (x + 2)' = f(x+ 2) Summary of Horizontal Shifts If the argument x of a function f is replaced by x-h, h>0, the graph of the new function y = f(x– h) is the graph of f_ If the argument x of a function fis replaced by x+h, h > 0, the graph of the new function h units y = f (x+ h) is the graph of f_ h units.
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