Twofunctions in the same family where we change the y-intercept are:
g(x) = x + 3
h(x) = x + 12
How to find the other two equations?
We want to find functions of the same family as:
f(x) = x + 2
This is a linear function, the general linear functions are:
f(x) = ax + b
Where a is the slope and b is the y-intercept.
If we only need to change the y-intercept, then the slope must be a = 1, and the y-intercet must be different than 2, then the other two functions can be:
g(x) = x + 3
h(x) = x + 12