Reflections and Dilations of Absolute Value Functions — Quiz
Question 2 • Mathematics II
Which absolute value function has a graph that is wider than the parent function, f of x is equal to absolute value of x , and is translated to the right 2 units?
Answer
A
f of x is equal to 3 start absolute value x minus 2 end absolute value
B
f of x is equal to 3 fourths start absolute value x minus 2 end absolute value
C
f of x is equal to 4 thirds absolute value of x plus 2
D
f of x is equal to 1 point 3 absolute value of x minus 2
Explanation
An absolute value function is wider than the parent function when the coefficient outside the absolute value has magnitude less than 1. A shift 2 units to the right is written by replacing x with x − 2. Choice B, f(x) = 3/4|x − 2|, has both features.
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