Answer:
A translation 9 units right
Step-by-step explanation:
Given
[tex]f(x) = 4x + 2[/tex]
[tex]g(x) = 4(x -9)+ 2[/tex]
Required
Translation of f(x) to g(x)
To do this, we take the options one after the other.
A translation 9 units right
When an original function f(x) is translated to the right by h points, the resulting function g(x) is
[tex]g(x) = f(x - h)[/tex]
So, we have that:
[tex]f(x) = 4x + 2[/tex]
When translated to the right by 9 points,
[tex]g(x) = 4(x - 9) + 2[/tex]
Hence, option A answers the question
