What is the image of A described by the vector(-4,-6)?
What is the vector that describes the translation B --D

Question

What is the image of A described by the vector(-4,-6)?
What is the vector that describes the translation B -->D

anonymous · Answer

attachment

e.mccormick · Answer

Not sure what, "What is the image of A described by the vector(-4,-6)?" is even asking.

As for the translation, do you know what his means?  What could you multiply the vector by to get to a different destination?

anonymous · Answer

@e.mccormick I'm not sure :/ I'm not good at this stuff

e.mccormick · Answer

First, are these just points in space?  Just want to be clear on what these are.  Why is simple.  If they are points, then the translation vector is a vector that would take the first point and land it at the second point.  On the other hand, if these are terminal points for vectors, it is a little different.

anonymous · Answer

I'm not really sure what they'd be? We didn't learn about that.

e.mccormick · Answer

But you were just given an image with dots?  If so, then the translation vector is just what would take B's values and move them to D's.

anonymous · Answer

I don't know :( honestly I'm about 
to just put something random down because I don't understand at all

e.mccormick · Answer

|dw:1370291842976:dw|

e.mccormick · Answer

In this type of vector, the top value is the chaneg in x and the bottom is the change in y.

anonymous · Answer

Would it be -8,-8

e.mccormick · Answer

Yes, $(-8,-8)$ translates B to D.

And that first question seems to be asking where would the dot be if you did the translation $(-4,-6)$ to it. Just never seen it worded quite that way.

anonymous · Answer

I think that's what it means to but I'm not sure what that one would be

e.mccormick · Answer

Well, you took B, did -8, -8 and got -2, -2.  If you take A, (2,4) and add (-4,-6) you get what?  And yes, the end point will be familliar...

anonymous · Answer

Wait now I am confused... Is my answer for the 2nd question -8,-8 or -2,-2?!

e.mccormick · Answer

The first is (-8, -8), the second is (-2,-2)....  Just pointing out that for whatever reason they seem to have both translating to D.

e.mccormick · Answer

Aak... reverse that... we did he queastions in reverse order.

anonymous · Answer

Ok so the first question or the image of A is -2,-2 and then second question is -8,-8

e.mccormick · Answer

So the first is (-2,-2) or it lands on D.

The second (which we did first), is (-8,-8).

e.mccormick · Answer

Yah, I am pretty sure hat is what they want for the first question. The second, yah, that is how they work. Here is a reference to things like the second question: http://www.cimt.plymouth.ac.uk/projects/mepres/book9/bk9i7/bk9_7i2.html