Question

use the figure to identify the correct rule for the translation. (x,y)→(x + 3,y - 4) (x,y)→(x - 3,y + 4) (x,y)→(x + 4,y - 3) (x,y)→(x - 4,y + 3)

Explanation:

Step1: Find the translation of \(x\) - coordinate

Take a point, say \(A(-1,-4)\) and its image \(A'(2,0)\). The change in \(x\) - coordinate: \(2-(-1)=3\).

Step2: Find the translation of \(y\) - coordinate

The change in \(y\) - coordinate: \(0 - (-4)=4\).
The translation rule for a point \((x,y)\) is \((x,y)\to(x + 3,y+4)\)

Answer:

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