165642
AssignmentMultiple Choice

Functions and Transformations

Question 165642 • EAP-Algebra Functions and Data Analysis A CR

Which describes the transformations of y = f(x) that would result in the graph of y = f(–x) – 7.

Answer
A
a reflection in the y-axis followed by a translation down by 7 units
B
a reflection in the y-axis followed by a translation up by 7 units
C
a reflection in the x-axis followed by a translation down by 7 units
D
a reflection in the x-axis followed by a translation up by 7 units

Explanation

Replacing x with –x reflects the graph across the y-axis. Subtracting 7 from the function value moves every point down 7 units. Therefore, the transformations are a reflection in the y-axis followed by a translation down by 7 units.

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