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Mathematics 13 Online
OpenStudy (anonymous):

Is my answer correct? A transformation T : (x, y) ---> (x + 3, y + 1). The preimage of the point (4, 3) is ...... (7,4)?

jimthompson5910 (jim_thompson5910):

If they were asking for the image of (4,3), then you'd be correct

OpenStudy (anonymous):

Okay :)

jimthompson5910 (jim_thompson5910):

You have to think backwards you have some point (x,y) and when you use this transformation, you'll land on (4,3) ie (x,y) ----> (4,3)

OpenStudy (anonymous):

Makes sense.. :) Thank you. Just had to clarify I was right. Can you tell me if I am right on two more questions?

jimthompson5910 (jim_thompson5910):

Here's a handy diagram to remember image and preimage |dw:1379017940047:dw|

jimthompson5910 (jim_thompson5910):

sure

OpenStudy (anonymous):

I wish I could save that drawing. Thank you. The image of the point (1, -2) after a rotation of 180° about the origin is ... (-2,1)? And The point (5, -2) is rotated 90° about the origin. Its image is ...(-5,2)?

OpenStudy (anonymous):

wait. The image of point 1,-2) isint the answer going to be (-1,2)? @jim_thompson5910

jimthompson5910 (jim_thompson5910):

just print screen the image to save it

OpenStudy (anonymous):

and the 5,2 just (2,5)?

jimthompson5910 (jim_thompson5910):

The image of the point (1, -2) after a rotation of 180° about the origin is ... (-2,1)? this is incorrect

jimthompson5910 (jim_thompson5910):

The point (5, -2) is rotated 90° about the origin. Its image is ...(-5,2)? depends on if you're going clockwise or counterclockwise but the answer here is incorrect in either event

OpenStudy (anonymous):

So my answers are (-1,2) and (2,5)?

jimthompson5910 (jim_thompson5910):

much better

OpenStudy (anonymous):

Thanks :)

jimthompson5910 (jim_thompson5910):

np

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