Answer:
Option D - a vertical stretch by 4 and -2 units in the x-direction
Step-by-step explanation:
To find : What transformation of the parent function f(x) is made to get [tex]4f(x + 2)[/tex]?
Solution :
The parent function is f(x)
The transformed function is [tex]4f(x + 2)[/tex]
As 4 is multiplied by the function,
When f(x)→a f(x) a>1 then it stretch vertically by a factor of a.
So, there is a vertical stretch by 4.
As 2 is added in the function,
When f(x)→f(x+a) then it shift left or in -x direction by a factor of a.
So, there is a shift of -2 units in the x-direction.
Therefore, option D is correct.
