Fp1

http://mathsathawthorn.pbworks.com/f/FP1Jan07.pdf
Q8b? So ive done part a! We've never been taught part b? How would i start it?

Reply 1

Lychee628

OP

19

Well ive got x'=costhetax-sinthetay+h
and y'=sinthetax+costhetay+k

Reply 2

ghostwalker

17

Original post by Ayaz789

Well ive got x'=costhetax-sinthetay+h
and y'=sinthetax+costhetay+k

Well you can use the brute force approach - write down the 4 equations that arise from the transfromation of the two points, and solve - not too diffiuclt, I think.

OR, you can think about the problem.
As a hint, consider the line connecting the two given points, and the translation of that line under T. What properties of the line change and how?

(edited 7 years ago)

Reply 3

Lychee628

OP

19

Original post by ghostwalker

Well you can use the brute force approach - write down the 4 equations that arise from the transfromation of the two points, and solve - not too diffiuclt, I think.

OR, you can think about the problem.
As a hint, consider the line connecting the two given points, and the translation of that line under T. What properties of the line change and how?

Whats the brute force approach? The thing is idk how to get the equation of the 4 lines?

Reply 4

ghostwalker

17

Original post by Ayaz789

Whats the brute force approach? The thing is idk how to get the equation of the 4 lines?

In post #2 you have the transformation equations.

So, you just need to plug in the points you've been given to get 4 equations.
(x,y) = (0,1) and (x',y') = (1,2) for the first couple of equations. Etc.

Reply 5

Lychee628

OP

19

Original post by ghostwalker

In post #2 you have the transformation equations.

So, you just need to plug in the points you've been given to get 4 equations.
(x,y) = (0,1) and (x',y' :wink:

= (1,2) for the first couple of equations. Etc.