Question

http://prntscr.com/didai1

Answer 1

May I help?

Answer 2

Yes

Answer 3

Thank you.

What do you think?
Any ideas?

Answer 4

I think it's a reflection

Answer 5

Yes, you are correct!

But a reflection followed by upward translation!

Do you know reflection about which axis?

Answer 6

The y-axis

Answer 7

Good!
After that how many steps up?

Answer 8

Um.. 1?

Answer 9

After the reflection, what is the new coordinates of the point y -for example?



-------------------
Hint:
These are kinds of reflections:
Reflection across x-axis: (x, y) > (x, -y)
Reflection across y-axis: (x,y) > (-x, y)
Reflection over origin: (x,y) > (-x,-y)
Reflection over line y=-x: (x,y) > (-y,-x)

Answer 10

y = 4

Answer 11

I think it still y=3 as the change occurred in the x-coordinate not y-coordinate!

Answer 12

Oh okay

Answer 13

got it?

Answer 14

So the type of transformation is a reflection over the y-axis and not a rotation or a translation?

Answer 15

Yes, that is for the first transformation...just a reflection about the y-axis, and the rule of it is:
Reflection across y-axis: (x,y) > (-x, y)
so (5,3)>>>>(-5,3)

Did you get the idea?

Answer 16

Yes

Answer 17

vertical reflection?

Answer 18

then...
what happen to the vertex Y(-5,3) (after the reflection) to be Y'(-5,6)?

Answer 19

The vertex moves up 3 steps?

Answer 20

\[\Huge\color{lime}\checkmark\]
then you mean that (x,y)>>>(x,y+3)
am I right?

Answer 21

Yeah

Answer 22

I hope you got the idea!

Are you satisfied?

Answer 23

What should write for the answer?

Answer 24

Divide it into two portions:
A: reflection ..... and describe it
B: transition ..... and describe it!

Answer 25

So \[\Lambda XYZ \] experinced a horizontal reflection over the line y=3

Answer 26

a horizontal reflection over the line x=0 (the y-axis)

Answer 27

I put that as the answer?

Answer 28

Yes, as part A!
and mention the rule of this reflection:
Reflection across y-axis: (x,y) >>>> (-x, y)

Answer 29

Part b the orgin took 3 steps up?

Answer 30

"orgin "?????????

Answer 31

vertex

Answer 32

the "reflected" vertex,,, you mean

Answer 33

So I put that in for the answer?

Answer 34

and don't forget to mention the rule of this translation too!
\[(x,y)\rightarrow(x,y+3)\]

right?

Answer 35

OKay

Answer 36

Thanks for the help

Answer 37

Don't mention it!
That is with my pleasure!
Thank you for learning!



+Thank you for the medal! by the way!

Answer 38

Why are you so nice?

Answer 39

This question is the only one I can't answer!
This is not included in the syllabus....
;)