Q:

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

Accepted Solution

A:
Answer:The corresponding point for the function  f(x - 4) is (4 , 1)Step-by-step 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)