Question

Giv

) is on the
-
Given that (0,1) is on the graph of f(x), find the
corresponding point for the function
f(x-4).

Answer 1

The corresponding point for the function f(x - 4) is (4 , 1)

Explanation:

* Lets explain how to solve the problem

- 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)

- The given function is f(x)

- Point (0 , 1) lies on the graph of f(x)

- We need to find the corresponding point of (0 , 1) for the function

f(x - 4)

- The function f(x - 4) means that f(x) is translated 4 units to the right

∵ x subtract by 4

∴ f(x) translated horizontally four units to the right

- If any point (x , y) translated 4 units to the right, then x-coordinate

of the point will added by 4 to give image (x + 4 , y)

∵ The point is (0 , 1)

∴ Its image is (0 + 4 , 1)

∴ Its image is (4 , 1)

* The corresponding point for the function f(x-4) is (4 , 1)