83145
AssignmentMultiple Choice

Reflections and Dilations of Absolute Value Functions

Question 83145 • FL-1200310-Algebra 1 A

Which describes how the parent function, f(x) = |x|, is transformed to show the function f(x) = 0.1|x – 3|?

Answer
A
It is wider and shifted 3 units to the left.
B
It is wider and shifted 3 units to the right.
C
It is narrower and shifted 3 units to the left.
D
It is narrower and shifted 3 units to the right.

Explanation

The factor 0.1 outside the absolute value vertically compresses the graph, making the V wider. Replacing x with x − 3 shifts the graph 3 units to the right. Therefore, it is wider and shifted 3 units to the right.

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