Question

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

Answer 1

Step 3

Explanation:

Answer 2

g(x) = x + 2 ⇒ 3rd answer

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