Question

01/06 - translations and reflections practice l
use the translation rules shown to determine the coordinates of the transformed image.
\overline{st} has endpoints at s(-6, 0) and t(5, 10). what will the coordinates of the endpoints be after the translation,
(x,y)\to(x,y - 7).
s (\square, \square)
t (\square, \square)

Explanation:

Step1: Apply translation to point S

The translation rule is \((x,y)\to(x,y - 7)\). For point \(S(-6,0)\), the \(x\)-coordinate remains \(-6\), and the \(y\)-coordinate is \(0-7=-7\). So \(S'=(-6,-7)\).

Step2: Apply translation to point T

For point \(T(5,10)\), using the same translation rule \((x,y)\to(x,y - 7)\), the \(x\)-coordinate remains \(5\), and the \(y\)-coordinate is \(10 - 7 = 3\). So \(T'=(5,3)\).

Answer:

\(S'(-6,-7)\), \(T'(5,3)\)