SOLUTION: I hope that I have this in the right category. My sons teacher made a work sheet for his class to do, it has to do with graphing. In one section it says to write a rule for the tra

Question 35527: I hope that I have this in the right category. My sons teacher made a work sheet for his class to do, it has to do with graphing. In one section it says to write a rule for the translation and the first problem says left 1 unit, down 3 units. We don't understand what she is talking about. If you could please explain so that he can do the other two problems by himself, we would greatly appreciate it.
Answer by narayaba(40) (Show Source): You can put this solution on YOUR website!
I believe what the teacher requires is to provide a general formula or rule that would translate a point in a cartesian coordinate system to a different point in the same system
For example let say we have an arbitary point in cartesian coordinate system represented as (x,y).
Suppose we require another point which is a translation of the point (x,y) by
m units up or down and n units left or right. The direction is obtained by assuming proper sign convention.
In the coordinate system we all know (0,0) is origin and right of (0, 0) is positive and left is negative similarly up is positive and down is negative.
The new point after translation is given by the formula (x + m, y + n).
So if we want to move 1 unit to the left and 3 units down
m = -1 and n = -3
plugging m and n in the formula we get (x - 1, y - 3)

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