Question

PLEASE HELP!!!

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

A. f(x) + k
B. kf(x)
C. f(x + k)
D. f(kx)

Answer 1

@mathmate

Answer 2

quadratic equation in vertex form \[ y=a(x-h)^2+k\]
where k = horizontal shift
h=vertical shift (hint: inside the parentheses )

Answer 3

so it would be c?

Answer 4

\[\huge\rm y=a(x-\color{reD}{h})^2+\color{blue}{k}\]
h is inside the parentheses not k

Answer 5

yup

Answer 6

oh, so it would be a?

Answer 7

c

Answer 8

what?

Answer 9

(x+h) , this h is adding to x, right? hence the graph moves along x-axis, that is it moves to the right/ left

Answer 10

if f(x) + k, that is the whole graph + k. It means the whole graph (y) moves along y axis.
Got what I meant?

Answer 11

yes

Answer 12

I got what you mean

Answer 13

no confuse anymore, right? hehehe...

Answer 14

no I'm not confused anymore :) thank you so much :)

Answer 15

\(\huge\rm y=a(x-\color{reD}{h})^2+\color{blue}{k}\)
\(h\ne 0\) means horizontal shift,
\(k\ne 0\) means vertical shift,
example: