Question

Explain what tranformations you would need to apply to the graph of y=f(x). y=-f(1/2x)-2

Answer 1

@lovekblue are you done reviewing?

Answer 2

my book says it will be a horitonzal stretch by by a factor of two, but why? I do not understand

Answer 3

-f(x) = flip on the x axis
1/2 x = horizontal stretch by 2
-2 = move down 2 units.

is that right. .

Answer 4

review what? my own exam stuff? totally not

Answer 5

yes it is, but I dont understand why it would be a stretch by a factor of 2

Answer 6

you're right in your explanation, lovekblue

Answer 7

oh yea, u explain it :D i gotta go back to my question page lol

Answer 8

help me please?

Answer 9

if you use x=1 in the original function, the transform \[\frac{ 1 }{ 2 }x\] will use only 1/2

Answer 10

one unit length in the original function is equivalent to half unit in the transform, so the graph is stretched horizontally

Answer 11

but why would the answer be 2 and not 1/2 ?

Answer 12

or using my dumb way to explain... since x is being halved, u need to have a greater x input to get the y . so the graph stretches outward.

Answer 13

if on your graphing paper, the farthest point on the horizontal axis is 6, on the transform, that is only at 3

Answer 14

let's say ur original function is x=1 , but now u have 1/2 x = 1 , to accomodate tha change, you need to multiply that by 2 to get y=1 isnt it?
that's why you are changing that x by a factor of 2

Answer 15

sirm, is my logic correct lol

Answer 16

if you try to make the two points (6,0) on the original axis and the point (3,0) on the transform, would you not stretch the transform axis just to make them coincide?

Answer 17

that is the restorative effect

Answer 18

which is true of course

Answer 19

which is true of course

Answer 20

so when I multiply by 2 it would look like this? 2 x 1/2x= 1 ? then 2/2x=1 then wouldn't it be 1x=1?

Answer 21

that would be fine

Answer 22

if a transform is \[\frac{ 3 }{ 2 }x \], the restorative factor is \[\frac{ 2 }{ 3 } \] so the graph "shrinks" horizontally

Answer 23

hm so suppose my graph said y=-f(2/3x)-2 would I say it would be a horitonzal compression by 2/3 or would it be something else?

Answer 24

because for the last equation we did not say it was a stretch by 1/2, we said 2

Answer 25

horizontal compression it is

Answer 26

oops, still expansion

Answer 27

what factor must you multiply \[\frac{ 2 }{ 3 }x \] to get x?
that factor will tell you its its compression (less than 1) or expansion (greater than 1)

Answer 28

3/2 ?

Answer 29

yes, 3/2. and that is greater than 1, so a horizontal expansion

Answer 30

Wow thank you sooo much! You helped me alot :) you and your friend. Thank you once again !

Answer 31

you seem to get lovekblue's idea more easily.

Answer 32

lol cuz my brain is structured to process only easy things :D

Answer 33

No you were both a big help :) aha god bless

Answer 34

easy things are easier to remember. haahaha