If the rule (x, y) → (x + 3, y – 3) is applied to the original triangle, give the coordinates of and draw the image.I dont understand this question at all. i've tried to figure it out and i can't.

Expert Answers
lfryerda eNotes educator| Certified Educator

Since you haven't given the initial coordinates of your original triangle, we need to assume some coordinates to answer the question.

Consider a triangle with vertices at the coordinates A(-1,1), B(1,1) nd C(2,1).  Then the rule that is given requires that for every x-value, you add 3 to it, and for every y-value, you subtract 3 from it.  

This means that A(-1,1) changes to D(-1+3,1-3)=D(2,-2).

Also, B(1,1) changes to E(1+3,1-3)=E(4,2).

Finally, C(2,1) changes to F(2+3,1-3)=F(5,-2).

Now, you can draw the original triangle ABC and the transformed triangle DEF on the same graph.

The new vertices are D(2,-2), E(4,2) and F(5,-2).