Question

Suppose y=f(x)+k. What effect does k have on the parent function?

Answer 1

1. If k > 0 then the parent function will shift up by k units

2. If k < 0 then the parent function will shift down by k units

Explanation:

The parent function is y = f(x) and we have added a constant k to this function to create the function y = f(x) +k.

If we add some constant k in the function then there would be a translation in vertical direction. The function will either shift up or down depending on the constant k.

For the function y = f(x) +k, we have below transformations in the parent function.

1. If k > 0 then the parent function will shift up by k units

2. If k < 0 then the parent function will shift down by k units.

Answer 2

y = f(x) + k
The k on the function will translate the function up or down.
If k is positive, it will translate up.
If k is negative, it will translate down.