Answer:
[tex](1,20)[/tex]
Step-by-step explanation:
Given:
The function [tex]k(x)[/tex] passes through the point [tex](1,10)[/tex].
For function [tex]g(x)[/tex] to transform to [tex]2k(x)[/tex], the graph has to stretch in the y direction by a factor of 2.
Therefore, the point [tex](1,10)[/tex] will have to stretch by factor 2.
Stretching by factor 2 means the [tex]y[/tex] value of the point has to get doubled.
The [tex]y[/tex] value of the point [tex](1,10)[/tex] is 10.
So, new [tex]y[/tex] value after stretch will be [tex]10\times 2=20[/tex].
Therefore, the graph of [tex]2k(x)[/tex] must pass through [tex](1,20)[/tex].
