Respuesta :
Answer:
[tex](0,5)[/tex]
Step-by-step explanation:
Given:
The function [tex]g(x)[/tex] passes through the point [tex](2,5)[/tex].
For function [tex]g(x)[/tex] to transform to [tex]g(x+2)[/tex], the graph has to translate 2 units to left.
Therefore, the point [tex](2,5)[/tex] will have to move 2 units to left.
Moving 2 units left means the [tex]x[/tex] value of the point has to reduce by 2 units.
The [tex]x[/tex] value of the point [tex](2,5)[/tex] is 2.
So, new [tex]x[/tex] value after translation will be [tex]2-2=0[/tex].
Therefore, the graph of [tex]g(x+2)[/tex] must pass through [tex](0,5)[/tex].
