If a positive real number k is subtracted from the output of a function, y = f(x), the graph of the new function, y = f(x)– k is the graph of f shifted_ k units If a positive real number k is added to the output of a function, y = f(x), the graph of the new function, %3D y = f(x)+ k , is the graph of f shifted k 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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Summary of Vertical Shifts
If a positive real number k is added to the output of a
function, y = f(x), the graph of the new function,
y = f(x)+k , is the graph of f shifted
If a positive real number k is subtracted from the
output of a function,
y = f(x), the graph of the new function, y = f (x) – k
is the graph of ƒ shifted_ k units
k units.
Transcribed Image Text:Summary of Vertical Shifts If a positive real number k is added to the output of a function, y = f(x), the graph of the new function, y = f(x)+k , is the graph of f shifted If a positive real number k is subtracted from the output of a function, y = f(x), the graph of the new function, y = f (x) – k is the graph of ƒ shifted_ k units k units.
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