Answer:
function f(x) first reflect across x axis and then shifted 4 unit up and then 2 unit down.
Step-by-step explanation:
Given : Transformations of g(x)=-(2)x+4-2 from the parent function f(x)=2x.
To find : Which of the following describes the transformations.
Solution : We have given
Parent function f(x) = 2x.
Transformed function g(x) = -(2)x+4-2.
By the transformation rule : (1) reflection across x - axis f(x) →→ -f(x) .
(2) f(x) →→ f(x) + k it mean function shifted up by k unit.
(3) f(x) →→ f(x) - k it mean function shifted down by k unit.
Then
f(x) = 2x →→→→-(2)x+4-2.
It mean function f(x) first reflect across x axis and then shifted 4 unit up and then 2 unit down.
Therefore, function f(x) first reflect across x axis and then shifted 4 unit up and then 2 unit down.
