Question

I am given function f(x). If I'm told to do this: f(x+4)
does that move the function/vertex over to the right or left 4 points? Is it to the right?

Answer 1

just take y = x for example

Answer 2

like 2 = 2

Answer 3

if we add 2 to the right side i.e 4 then we have to move x two units in the positive x direction, that means , we have to move function to the right

Answer 4

so yes, IT is to the right !!

Answer 5

So my vertex would go from (3,2) to (7,2), correct?

Answer 6

f(3+4) = 7 = y

Answer 7

so it wud be (3,7)

Answer 8

Also, if my function was 3(x − 3)^2 + 2, and I was told to do this: f(4x) and this: 4•f(x) how would that affect the function?

Answer 9

as y coordinate is the one dat is changing

Answer 10

Oh, my bad. That was a stupid mistake. xD

Answer 11

happens to the best of us

Answer 12

Wait.. wait.. no.. because x is what runs right to left, and y goes up and down. so if I were shifting it to the right, then the point of x would be the one changing o.o

Answer 13

which would make it move from 3, 2 to 7, 2

Answer 14

ah Nevermind lol!

Answer 15

xD

Answer 16

Can you help me find 4•f(x)? What would that do to the vertex?

Answer 17

4*(3(x − 3)^2 + 2) right?

Answer 18

right

Answer 19

it will move the x 4 times to the right

Answer 20

so 16 times?

Answer 21

Or will it make it bigger/compress it?

Answer 22

it will make it bigger

Answer 23

we gotta stretch the graph 4 times

Answer 24

Will the vertex stay the same?

Answer 25

yes!

Answer 26

wait. so does it stretch 4 times or 16 times bigger?

Answer 27

why 16 times bigger? :S we just gotta stretch it 4 times

Answer 28

okay o.o

Answer 29

you mentioned something about x times 4 though.

Answer 30

along the y axis

Answer 31

got it? o.O

Answer 32

yeah. o.o

Answer 33

Okay last one. xD f(4x)

Answer 34

shrink it a times along x axis

Answer 35

*4 times

Answer 36

4 times?

Answer 37

yerr

Answer 38

(3(4x − 3)^2 + 2)?

Answer 39

I m BRAINDEAD lol

Answer 40

Are you sure it would shrink? Since it's being multiplied?

Answer 41

yeah it wud shrink, see cos techically x wud be Y/4

Answer 42

And the vertex stays the same? c:

Answer 43

yerr

Answer 44

Awesome! Thanks! c:

Answer 45

vertex is changed only when we add or subtract something

Answer 46

and if we multiply a function by a number then its stretched

Answer 47

so done? got it all?

Answer 48

Yes, I think so!

Answer 49

Thank you for your help! I'll post if I need help verifying something else. :)

Answer 50

No worries :) Laterz