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 translation \(T_{a,b}(x,y)\), \(a\) is the horizontal change (right if \(a>0\), left if \(a < 0\)) and \(b\) is the vertical change (up if \(b>0\), down if \(b < 0\)).

Step2: Analyze the given translation

The square is translated 1 unit to the right, so \(a = 1\). It is translated 9 units down, so \(b=-9\).

Answer:

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