Linear TransformationsDate: 6/13/96 at 18:2:58 From: ourpond Subject: Linear transformations Dear Dr. Math, I'm having a problem with this question. If you could help me that would be great! Determine the image of (2,-6) under (x,y) ---> (x+3, y+5) Thanks. Tanya Date: 6/14/96 at 8:59:53 From: Doctor Patrick Subject: Re: Linear transformations Hi Tanya! This problem is what is known as a transformation. You take your starting point (or points) and perform the changes required in order to find a new image. In this case, we are told that any point (x,y) will be changed to (x+3, y+5). Since (2,-6) names a point where x = 2 and y = -6, we can use the formula we were given to find a new point. Since x becomes x+3, in this example where x = 2, our new x value will be 2+3, or 5. Now we do the same thing for the y value. y = -6 in this problem, and y needs to be transformed to y+5. What do you think the new y value will be? I'll let you figure out that part on your own. The last step is to put the two parts together in (x,y) form with the new values. Good luck, -Doctor Patrick, The Math Forum Check out our web site! http://mathforum.org/dr.math/ |
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