Explanation:
A) For the function ...
f(x) = mx + b
the vertical translation by k makes the function ...
g(x) = f(x) + k = mx + b + k
This can be rewritten as ...
g(x) = m(x +k/m) +b = f(x+k/m)
That is, the vertical translation by k is equivalent to a horizontal translation by -k/m, where m is the slope of the linear function.
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B) For a vertical translation of 3, the equivalent horizontal translation is ...
-k/m for k=3
= -3/m . . . . . where m is the slope of the function
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Please note that there is no equivalent for m=0.
