Question

the point a(-1, 4) is translated five units right and three units down. which rule describes the translation?
○ (x,y)→(x+3,y+5)
○ (x,y)→(x+5,y+3)
○ (x,y)→(x+5,y-3)
○ (x,y)→(x-3,y+5)

Explanation:

Step1: Analyze x-axis translation

Moving right adds to the x-coordinate: $x
ightarrow x+5$

Step2: Analyze y-axis translation

Moving down subtracts from the y-coordinate: $y
ightarrow y-3$

Step3: Combine into translation rule

The full rule is $(x,y)
ightarrow (x+5, y-3)$

Answer:

$\boldsymbol{(x,y)
ightarrow (x+5,y-3)}$ (the third option)