Reflections and Dilations of Absolute Value Functions
Question 83143 • FL-1200310-Algebra 1 A
The graph of f(x) = |x| has been stretched by a factor of 2.5. If no other transformations of the function have occurred, which point lies on the new graph?
Answer
A
( –4, –4)
B
(–3, 7.5)
C
( –2, 5.5)
D
( –1, –2.5)
Explanation
A stretch by a factor of 2.5 changes the function to y = 2.5|x|. At x = −3, y = 2.5 × 3 = 7.5, so the point (−3, 7.5) lies on the new graph.
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