Answer: The point is (-2, 7)
Step-by-step explanation:
If we have a function f(x) and we apply the transformation
[tex]y = f (x + h)[/tex] then ::
If [tex]h <0[/tex] the graph of f(x) moves horizontally h units to the right
If [tex]h> 0[/tex] 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 [tex]y = f (x + 2)[/tex]
Then [tex]h = 2> 0[/tex]. 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
