Answer:
The corresponding point for the function f(x + 2) is (3 , -8)
Step-by-step explanation:
* Lets talk about the transformation
- 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
- There is a graph of f(x)
- Point (5 , -8) lies on the graph of f(x)
- The graph of f(x) change to f(x + 2)
∵ f(x) ⇒ f(x + 2)
∵ If the function f(x) translated horizontally to the left by h units,
then the new function g(x) = f(x + h)
∴ f(x) translated horizontally 2 units to the left
∴ Any point on the graph its x-coordinate translated 2 units
to the left
∴ The x-coordinate of any point on the graph is subtracted by 2
∵ Point (5 , -8) lies on the graph
∴ Its corresponding point is (5 - 2 , -8) = (3 , -8)
* The corresponding point for the function f(x + 2) is (3 , -8)
