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?
a) f(x) = 1.3|x| – 2
b) f(x) = 3|x – 2|
c) f(x) = |x – 2|
d) f(x) = |x| + 2

answer: the correct option is c.

explanation:

the equation of the parent function is,

if the graph is wider than the parent function then the function must be in the form of,

where the value of k must be less than of equal to 1. if k is more than 1 then the graph compressed.

if the graph is translated right by a units right then the the function is defined as function f(x-a) and if the graph is translated left by a units right then the the function is defined as function f(x+a)

since the graph shifts 2 units right therefore the function in in the form of,

the value of k must be less than of equal to 1.

so, the correct option is c.

in option 2b the value of k is 3> 1 so it show compression of f(x) and the option a and d shows the vertical shifts, therefore option a,b and d are incorrect.

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step-by-step explanation:

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