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

f(x) + k
kf(x)
f(x + k)
f(kx)

Question

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

usukidoll · Answer

f(x) = x^2 is the original graph  and k = 2 which is the change

usukidoll · Answer

we graph the original f(x) first and then apply these transformations...

isaiah.feynman · Answer

A horizontal shift would be in the form $$f(x \pm k)$$

usukidoll · Answer

-_- wow Isaiah, you didn't have to give out a direct answer.

karatechopper · Answer

Just by rule....
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
Those are the rules to always use.

karatechopper · Answer

I don't know how else to explain just by rule....forgive me @UsukiDoll if you or anyone thought this was my way of giving out an answer. Just thought I would give them a key to help them identify what they are handling with other problems.

usukidoll · Answer

@karatechopper your answer was fine.