Answer:
The corresponding point for the function f(x - 4) is (4 , 1)
Step-by-step explanation:
* <em>Lets explain how to solve the problem</em>
- 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)
/6 (when finding the inverse, always take the positive value, ignore the negative sign)