Question

help please :) question on graphical transformations.
1. When transforming asymptotes, (i.e.1/x) and there's a negative sign, when do we reflect in x axis and when do we reflect in y axis?
2. If I have y=3+x/2 and i reflect it in x axis, does it become 3-x/2 or -(3+x/2)?
Thank you :)

Answer 1

https://www.desmos.com/calculator/ybgvttqlmo

I'm not sure i understand your question but the above shows graphs of y = 1/x and y = -1/x

Answer 2

sorry which question don't you understand?

Answer 3

oh basically for asymptotes, when you reflect them you need to know if it's reflected in the x axis or y axis. And you can tell this by where the minus signs are located. So if i'm reflecting in y axis, where should the minus sign be? (and same goes for x axis)

Answer 4

the above graph can be a reflection in y or x axis?

Answer 5

No waitI take a look at that graph is it a reflection in the x-axis ? . I think it is

Answer 6

ohhhhh

Answer 7

Yes it is

Answer 8

yeah. i see it! but when would it be a reflection in the y axis?

Answer 9

i get confused with these sometimes. Yea it is.

Answer 10

but when would it be a reflection in the y axis?

Answer 11

You can also take it to be a reflection across the y-axis because the 2 graphs are symmetrical about the origin.

Answer 12

agreed?

Answer 13

do you see that?

Answer 14

or am i wrong

Answer 15

as for the second part when you reflect across the x axis the y values become negative

Answer 16

wait i thought this graph can't be a reflection in y axis?

Answer 17

why not?

Answer 18

no wait. i just confused myself

Answer 19

wait let's try plotting 1/x-5

Answer 20

https://www.desmos.com/calculator/0xwnolr5rq


there's the second part

Answer 21

no wait it's the same what am i doing

Answer 22

thanks

Answer 23

- your second choice was correct in Q 2.

Answer 24

yw

Answer 25

okie ;D for first part right does this graph help me in any way https://www.desmos.com/calculator/ybgvttqlmo

Answer 26

this is the y xis one right

Answer 27

well you can look upon it as a reflection in the x axis or e reflection in y-axis.

Answer 28

both give the same image.

Answer 29

https://www.desmos.com/calculator/odu9pg9z6y


here are the graphs of 1 / (x - 5) and y = -1/(x -5)

this is a reflection in the x axis but not in the y axis 9 it can also be regarded as a reflection in the line x = 5))

Answer 30

the question is what would be a reflection in the y axis for this function ?

Answer 31

no. just when i need to reflect it in the y axis if its an asymptote

Answer 32

well i guess we change all x values to negative

Answer 33

hmm ok thanks!

Answer 34

https://www.desmos.com/calculator/odu9pg9z6y


check that out

Answer 35

woah. clears things up more! thanks man

Answer 36

yw

Answer 37

hmm i didnt mean to send that one
this is the reflection in y axis

Answer 38

haha it's ok. i think i get it

Answer 39

https://www.desmos.com/calculator/var6b5xd50

Answer 40

THANKS :D

Answer 41

yw