Trinity claims that the graph of the function g(x) = f(x – k)is located k units to the right of the graph of f(æ). - Which statement best describes Trinity's claim? The claim is never true, since the graph of O A f(x) is shifted up or down by k units. The claim is always true, since any value of O B k will shift the graph of f(x)to the right. The claim is only true for k < 0, since positive values of k will shift the graph of f(x) to the left.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.1: Inverse Functions
Problem 56E
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Question 19
Trinity claims that the graph of the function
g(x) = f(x – k) is located
k units to the right of the graph of
f(x).
Which statement best describes Trinity's claim?
The claim is never true, since the
graph of
f(x) is shifted up or down by
k units.
The claim is always true, since any
value of
В
k will shift the graph of
f(x)to the right.
The claim is only true for
k < 0, since positive values of
k will shift the graph of
f(x) to the left.
Transcribed Image Text:Question 19 Trinity claims that the graph of the function g(x) = f(x – k) is located k units to the right of the graph of f(x). Which statement best describes Trinity's claim? The claim is never true, since the graph of f(x) is shifted up or down by k units. The claim is always true, since any value of В k will shift the graph of f(x)to the right. The claim is only true for k < 0, since positive values of k will shift the graph of f(x) to the left.
Which statement best describes Trinity's claim?
The claim is never true, since the
graph of
f(x) is shifted up or down by
k units.
A
The claim is always true, since any
value of
В
k will shift the graph of
f(x) to the right.
The claim is only true for
k < 0, since positive values of
k will shift the graph of
C
f(x) to the left.
The claim is only true for
k > 0, since negative values of
k will shift the graph of
f(x) to the left.
Transcribed Image Text:Which statement best describes Trinity's claim? The claim is never true, since the graph of f(x) is shifted up or down by k units. A The claim is always true, since any value of В k will shift the graph of f(x) to the right. The claim is only true for k < 0, since positive values of k will shift the graph of C f(x) to the left. The claim is only true for k > 0, since negative values of k will shift the graph of f(x) to the left.
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