Question

a square on a coordinate plane is translated 9 units down and 1 unit to the right. which function rule describes the translation?
$t_{1,-9}(x,y)$
$t_{-1,-9}(x,y)$
$t_{-9,1}(x,y)$
$t_{-9,-1}(x,y)$

Explanation:

Step1: Recall the translation rules

For a point \((x,y)\) on the coordinate plane, a translation \(T_{a,b}(x,y)\) means moving \(a\) units in the \(x -\)direction (right if \(a>0\), left if \(a < 0\)) and \(b\) units in the \(y -\)direction (up if \(b>0\), down if \(b < 0\)).

Step2: Analyze the given translation

The square is translated 1 unit to the right. So, \(a = 1\) (since moving right in the \(x -\)direction). The square is translated 9 units down. So, \(b=-9\) (since moving down in the \(y -\)direction).

Answer:

\(T_{1,-9}(x,y)\)