The equation is f(x) = |x+5| - 1 which is shown in the graph after applying the transformation to the parent function f(x) = |x| option (C) is correct.
<h3>What is a function?</h3>
It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.
We have a graph of a function is shown in the picture:
The graph is representing a mod function:
f(x) = |x|
By applying transformation:
f(x) → f(x) - 1
f(x) = |x| - 1
The function will shift down by 1 unit.
x → x + 5
f(x) = |x+5| - 1
Thus, the equation is f(x) = |x+5| - 1 which is shown in the graph after applying the transformation to the parent function f(x) = |x| option (C) is correct.
Learn more about the function here:
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