Question

Please help me with these questions using the graph attached!
1. What is the image of A described by the vector(4,2)?
2. What is the vector that describes the translation B ---> C?
3. What is the image of B under the composition of transformations described by the vectors (-4,-5),(0,3)?

Answer 1

@amistre64 could you help with these?!

Answer 2

4 across, 2 up is not the same as 2 across and 4 up

Answer 3

B to C, if we "move" the points by point B at the origin, we essentially subtract B from both points, which defines the vector between them: C - B

Answer 4

i only see 1 A, not too sure what an image would be :)

Answer 5

...so there is hidden information eh

Answer 6

i am missing any information of a transform vector.

ive got class starting, and a power point to develop so i will play back later :)

Answer 7

I think you are doing translations: add the given vector to A to find the image of A
for (1) (2,4) + (4,2)= (6,6) (point B)
for (2), the translation vector to get from B to C is (-3,-4)

Answer 8

For (3), you can combine the 2 translations to get (-4,-2). This takes point B to point A

Answer 9

Translation vectors are added to a point to find the "image" point.

The best I can find is this test that gives answers to this type of problem
http://www-math.ucdenver.edu/~wcherowi/courses/m3210/hghw11a.html

Answer 10

@Phi so 1 would be B is the image of A, 2 would be (-3,-4), but I'm still confused with number 3..

Answer 11

@amistre64 could you help me now?! If not it's fine! :)

Answer 12

the other poster who deleted their content suggested that there is more to the problem that is not posted here.

Answer 13

1. What is the image of A described by the vector(4,2)?

just add 4 and 2 to the appropriate parts of A

2. What is the vector that describes the translation B ---> C?

Cparts - Bparts

3. What is the image of B under the composition of transformations described by the vectors (-4,-5),(0,3)?

just add (-4,-2) to the B parts

Answer 14

@amistre64 so 1 would be point B
2 would be -3,-4 and 3 would be 2,4 or A ?!

Answer 15

Im not too sure how the formatted solution is spose to look. I just know how to address a movement of the point

Answer 16

but yes,

1) A does translate to the position of B
2) the vector from B to C is: -3,-4
3) B does translate to the position of A