Write the equation of a function whose parent function, f (x) = x + 6, is shifted 4 units to the right.

g (x) = x - 10

g (x) = x - 4

g (x) = x + 2

g (x) = x + 10

Step 3

g (x) = x + 2 ⇒ 3rd answer

Step-by-step explanation:

* Lets revise the translation

- If the function f (x) translated horizontally to the right

by h units, then the new function g (x) = f (x - h)

- If the function f (x) translated horizontally to the left

by h units, then the new function g (x) = f (x + h)

* Lets solve the problem

∵ The parent function f (x) = x + 6

∵ f (x) is shifted four units to the right

- The translation of a function by h units to the right change the x in

the function by subtracting h from it

∴ The x in f (x) will change to (x - 4)

∴ The new function = (x - 4) + 6

- Simplify the function

∴ The new function = x + 2

∵ The new function is g (x)

∴ g (x) = x + 2