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Question 17 of 21
If you apply the changes below to the absolute value parent function, f(x) = Ixl.
which of these is the equation of the new function?
• Shift 5 units to the right.
. Shift 4 units down.
A. g(x) = |x-41-5
B. g(x) = x + 51-4
C. g(x)= x +41-5
D. g(x) = |x-51-4

Respuesta :

Using translation concepts, it is found that the equation of the new function is given by:

D. g(x) = |x - 5| - 4.

What is a translation?

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 function is given by:

f(x) = |x|.

Then, it is shifted 5 units to the right, that is g(x) = f(x - 5), hence:

g(x) = |x - 5|.

Then it is shifted 4 units down, so g(x) = f(x - 5) - 4, that is:

g(x) = |x - 5| - 4.

Which means that option D is correct.

More can be learned about translation concepts at https://brainly.com/question/4521517

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