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.

so firstly, we need to isolate the y variables to be able to solve these inequalities. firstly, add 0.5x on both sides of the first inequality and subtract 1.5x on both sides of the second inequality:

now since the slope is positive for the first inequality, this means that the line going upwards belongs to the first inequality, and the line going downwards belongs to the second inequality.

next, since y ≥ in the first inequality, this means that the shaded region will be above the first inequality's line, thus shading regions a and b.

next, since y ≤ in the second inequality, this means that the shaded region is going to be below this line, thus shading regions a and c.

since both lines shade region a, this means that region a is the solution.

step-by-step explanation:

mark brainliest!

answer: 1475

step-by-step explanation:

becuase you have to know what they are asking you