How Do You Do Translations?Date: 12/09/2009 at 19:42:00 From: Florenza Subject: How do you do translations If (4,7) translates to (-3,9) what is the translated x-coordinate for the point (10,-5)? How do you translate? I was never taught how to find translated points. I have no idea what to do to solve this problem. Date: 12/10/2009 at 13:08:55 From: Doctor Peterson Subject: Re: How do you do translations Hi, Florenza. Translation means sliding without rotation. You can think in terms of first sliding it horizontally as far as needed to get the right x coordinate, and then sliding vertically to the desired y coordinate. As an example, a translation that takes (2,-5) to (-3,1) has to go -5 units horizontally [(-3) - (2) = -5, so 5 to the left] and 6 places vertically [(1) - (-5) = 6, so 6 up]. You can then describe this translation as subtracting 5 from x and adding 6 to y. So this same translation would take the point (-1, 3) to [(-1) - (5), (3) + (6)] = (-6,9). One notation for this translation is T -5,6 meaning that it adds -5 to x and 6 to y. Does that help? - Doctor Peterson, The Math Forum http://mathforum.org/dr.math/ Date: 12/10/2009 at 19:40:09 From: Florenza Subject: Thank you (How do you do translations) Thank you so much that was an awesome explanation of how to translate. I understood it right off the bat. Thank you again for taking time out of your day to help, I appreciate it very, very much. |
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