Using translation concepts, it is found that the change from f(x) to g(x) can be described in two ways:
What is a translation?
A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction either in it’s definition or in it’s domain. Examples are shift left/right or bottom/up, vertical or horizontal stretching or compression, and reflections over the x-axis or the y-axis.
In this problem, the parent function is:
f(x) = -x - 5.
The function g(x) is:
g(x) = -x - 2.
The change from f(x) to g(x) can be described in two ways:
- Shift left of 3 units, since f(x - 3) = -(x - 3) - 5 = -x + 3 - 5 = -x - 2.
- Shift up of 3 units, since f(x) + 3 = -x - 5 + 3 = -x - 2.
More can be learned about translation concepts at https://brainly.com/question/4521517
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