Question

1. if a point ( p(-2,-1) ) is translated to ( p(1,2) ), what is the translation?

( t_{3,-3} )
( t_{-3,-3} )
( t_{-3,3} )
( t_{3,3} )

Explanation:

Step1: Calculate the change in \(x\) - coordinate

The formula for the change in \(x\) - coordinate is \(\Delta x=x_{P'}-x_{P}\).
Given \(x_{P}=-2\) and \(x_{P'}=1\), then \(\Delta x = 1-(-2)=1 + 2=3\).

Step2: Calculate the change in \(y\) - coordinate

The formula for the change in \(y\) - coordinate is \(\Delta y=y_{P'}-y_{P}\).
Given \(y_{P}=-1\) and \(y_{P'}=2\), then \(\Delta y=2-(-1)=2 + 1=3\).

The translation \(T_{\Delta x,\Delta y}\), so the translation is \(T_{3,3}\).

Answer:

\(T_{3,3}\) (the fourth option)