Question

Select the correct answer. Which function is represented in this graph? A. f(x)=|x-1|-5
B. f(x)=|x-5|-1
C. f(x)=|x+5|-1
D. f(x)=|x+1|-5

Answer 1

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.

What is a function?

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:

brainly.com/question/5245372

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