Question

Question 17 of 21

Answer 1

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 brainly.com/question/4521517

#SPJ1