Question

1. ( t_{a,b} ) is a translation, wh

( p(x,y)\to p(x,y) )
( p(x,y)\to p(a,b) )
( p(x,y)\to p(x + a,y + b) )
( p(x,y)\to p(x - a,y - b) )

Explanation:

Step1: Recall the translation formula

In a translation \(T_{a,b}\), the \(x -\)coordinate of a point \(P(x,y)\) is increased by \(a\) (horizontal shift) and the \(y -\)coordinate is increased by \(b\) (vertical shift).
The general rule for a translation of a point \(P(x,y)\) by \(T_{a,b}\) is \(P(x,y)\to P'(x + a,y + b)\).

Answer:

\(P(x,y)\to P'(x + a,y + b)\) (the third option)