Answer:
K=-2.5
Step-by-step explanation:
because the line is in the middle of 2 and 3 and is below which means that it is negative
Using translation concepts, it is found that the value of k is of k = -2.5.
A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.
The parent absolute value function is defined by:
g(x) = |x|
In this problem, the function was shifted one unit to the right and 2.5 units down, hence it is given by:
f(x) = |x - 1| - 2.5.
Comparing with the equation given, that is:
f(x) = |x - h| + k.
We have that h = 1, k = -2.5.
More can be learned about translation concepts at https://brainly.com/question/4521517
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