Question

Given the function f(x) = x2 and k = –3, which of the following represents a vertical shift?

Answer 1

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

Answer 2

when you are dealing with any function \(f(x)=x^w\), a vertical shift is:

\(f(x)=x^w+c\) (shift up),
OR
\(f(x)+x^w-c\) (shift down).

Answer 3

does this help, or not?

Answer 4

I mean \(fx)=x^w-c\) for the last equation ...

Answer 5

btw, you don't need to know the value of the k to answer this question.

Answer 6

yes this helps.

Answer 7

Ok, and your answer is?

Answer 8

would it be d?

Answer 9

I guess it didn't help at all....

Answer 10

it seems as though you are guessing....

Answer 11

I'm trying to understand

Answer 12

okay wait would it be a?

Answer 13

im so bad at math sorry I'm really trying to get this

Answer 14

Say you have a function \(f(x)=x^w\)
--------------------------------

\(f(x\cdot k)=(x\cdot k)^w\)
that is just increasing the base, and gives you a different function.

\(f(x)+c=x^w+c\)
~ shift up when c>0
~ shift down when c<0.

\(kf(x)=k(x)^w\)
~ you are stretching the function when k>1,
~ shrinking when 0<k<1,
~ reflecting the function across x axis and then shrinking it when -1<k<0,
~ reflecting the function across x axis and stretching it when k<-1.

\(f(x+k)=(x+k)^w\)
~ shift right when k<0
~ shift left when k>0

Answer 15

so it would be a

Answer 16

yes, A is the correct answer.

Answer 17

thank you! it was right.

Answer 18

:)