For each statement below, circle T if the statement is true, or F if the statement is false. T F a) When the function f(x) = x² is transformed to y=-f(x), there is one T F T F T F T F invariant point. b) For the function y = -f(2x-6), there is a horizontal translation right 6 units. c) An asymptote is a line that a curve approaches, but never touches. d) A vertical line is a relation, but not a function. e) Horizontal and vertical translations are always completed first when applying transformations to any function.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.5: Graphs Of Functions
Problem 38E
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For each statement below, circle T if the statement is true, or F if the statement is false.
T F a) When the function f(x) = x² is transformed to y=-f(x), there is one
T
F
T
F
T F
T
F
invariant point.
b) For the function y = -f(2x-6), there is a horizontal translation right 6 units.
c) An asymptote is a line that a curve approaches, but never touches.
d) A vertical line is a relation, but not a function.
e) Horizontal and vertical translations are always completed first when applying
transformations to any function.
Transcribed Image Text:For each statement below, circle T if the statement is true, or F if the statement is false. T F a) When the function f(x) = x² is transformed to y=-f(x), there is one T F T F T F T F invariant point. b) For the function y = -f(2x-6), there is a horizontal translation right 6 units. c) An asymptote is a line that a curve approaches, but never touches. d) A vertical line is a relation, but not a function. e) Horizontal and vertical translations are always completed first when applying transformations to any function.
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