Question

finding coordinates of a translation
triangle xyz has coordinates x(2,4), y(-3,4), and z(-3,1). if the triangle is translated using the rule
(x,y)→(x - 2,y + 1), what are the coordinates of y?
y(0,5)
y(-1,3)
y(-5,2)
y(-5,5)

Explanation:

Step1: Apply the translation rule to the \(x\) - coordinate of \(Y\)

The translation rule for the \(x\) - coordinate is \(x\to x - 2\). Given \(Y(-3,4)\), for the \(x\) - coordinate: \(x=-3\), then \(x'=-3-2=-5\).

Step2: Apply the translation rule to the \(y\) - coordinate of \(Y\)

The translation rule for the \(y\) - coordinate is \(y\to y + 1\). Given \(y = 4\), then \(y'=4 + 1=5\).

Answer:

\(Y'(-5,5)\)