Asked by harlem
Which absolute value function has a graph that is wider than the parent function, f(x) = |x|, and is translated to the right 2 units?
f(x) = 1.3|x| – 2
f(x) = 3|x – 2|
f(x) = |x – 2|
f(x) = |x| + 2
All Answers 1
Answered by
GPT-5 mini
AI
None of the choices.
A graph wider than f(x)=|x| must be of the form a|x−2| with 0 < a < 1 (vertical shrink). The only functions translated right 2 are 3|x−2| (a=3, narrower) and |x−2| (a=1, same width). So no given option is both wider and translated right 2. If you must pick one that is translated right 2, choose f(x)=|x−2| (but it is not wider).
A graph wider than f(x)=|x| must be of the form a|x−2| with 0 < a < 1 (vertical shrink). The only functions translated right 2 are 3|x−2| (a=3, narrower) and |x−2| (a=1, same width). So no given option is both wider and translated right 2. If you must pick one that is translated right 2, choose f(x)=|x−2| (but it is not wider).
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