Question

translations describing rules for the translation a triangle is drawn on the coordinate plane. it is translated 4 units right and 3 units down. which rule describes the translation? (x, y)→(x + 3, y + 4) (x, y)→(x + 4, y - 3) (x, y)→(x + 3, y - 4) (x, y)→(x + 4, y + 3)

Explanation:

Step1: Recall translation rules

In a coordinate - plane, moving right affects the x - coordinate and moving down affects the y - coordinate. Moving right by \(a\) units means adding \(a\) to the \(x\) - coordinate, and moving down by \(b\) units means subtracting \(b\) from the \(y\) - coordinate.

Step2: Apply given translation

The triangle is translated 4 units right and 3 units down. For a point \((x,y)\), moving 4 units right gives \(x+4\) and moving 3 units down gives \(y - 3\). So the translation rule is \((x,y)\to(x + 4,y-3)\).

Answer:

\((x,y)\to(x + 4,y-3)\)