Question

shifting functions horizontally

Answer 1

(x+3)^2

Answer 2

do you understand the shifting idea?

Answer 3

thanks

Answer 4

yup kinda

Answer 5

danny, you are starting from the origin which is 0,0 and shifting either to the left or right... if you are going left, it is (+) and if you are going right, it is (-)

Answer 6

i know when to put negative a positive

Answer 7

hopefully that helps you :)

Answer 8

thanks

Answer 9

i going to put more of these. do you mind to wait please? @mathstudent55

Answer 10

do you want me to help you or @mathstudent55?

Answer 11

When you replace x with x - h, the function shifts h units horizontally. It shifts h units right if h is positive and h units left if h is negative.
Here the original function is f(x) = x^2
A shift of 3 units to the left means h = -3
That means replace x with x - h, x - (-3) = x + 3.
The new function is g(x) = (x + 3)^2

Answer 12

ok

Answer 13

both

Answer 14

OK, so we shifted 2 units to the right

Answer 15

What shift do you have (how many units and right or left)?

Answer 16

how do you represent that algebraically?

Answer 17

wait sry i put wrong one

Answer 18

that is the same one

Answer 19

can you wait i keep putting wrong one

Answer 20

ok there @jtryon

Answer 21

ok, identify what kind of shift it is, and how far it is shifting in units?

Answer 22

it is going right which is negative and also down and it is also negative so do i add the both negatives?

Answer 23

-4 and -4 is -8

Answer 24

so (x-8)^2?

Answer 25

you are only dealing with horizontal shifts, so it is not going down and it is actually shifted to the left

Answer 26

when you shift to the left, that is positive so it would be (x+3)^2

Answer 27

do you see that?

Answer 28

no

Answer 29

it is not shifting up or down because you are still on 0 for the y-axis

Answer 30

nope it is wrong

Answer 31

it is (x-2)^2-4

Answer 32

that is not what you had on the graph

Answer 33

The latest graph you showed is the very first one again. It is a parabola shifted 3 units left.

Answer 34

Thanks @mathstudent55

Answer 35

i attached another one @mathstudent55 @jtryon