Question

Given that (0,7) is on the graph of f(x), find the corresponding point for the function f(x+2).

Answer 1

Answer: The point is (-2, 7)

Explanation:

If we have a function f(x) and we apply the transformation

`y = f (x + h)` then ::

If
`h <0` the graph of f(x) moves horizontally h units to the right

If
`h> 0` the grace of f(x) moves horizontally h units to the left

In this case we have the function f(x) and the point (0,7) and the transformation
`y = f (x + 2)`

Then
`h = 2> 0`. Therefore the graph of f(x) moves 2 units towards the left.

Therefore the point (0,7) moves 2 units to the left and we have the point (-2, 7) in the transformed function