Given the function f (x) = x2 and k = 2, which of the following represents a horizontal shift?

Solutions

To solve problems like that we have to use the rules

f (x) + k = vertical shift

kf (x) = vertical stretch/shrink (depending)

f (x+k) = phase shift, also known as a horizantal shift.

f (kx) = Horizantal stretch/shrink

The horizontal shift would be in the form f (x±k)

A horizontal shift would be in the form f (x±k)