Question

which rule describes the translation below?
graph of two right triangles, one green (stu) and one blue (stu), with grid coordinates. green triangle vertices: s(1,5), t(1,1), u(4,1). blue triangle vertices: s(-4,2), t(-4,-2), u(-1,-2). multiple choice options: (x,y)→(x−5,y−3); (x,y)→(x+5,y+3); (x,y)→(x−3,y−5)

Explanation:

Step1: Identify a point and its image

Take point \( S(1,5) \) and its image \( S'(-4,2) \).

Step2: Calculate the change in x-coordinate

The change in x: \( -4 - 1=-5 \), so \( x \) becomes \( x - 5 \).

Step3: Calculate the change in y-coordinate

The change in y: \( 2 - 5=-3 \), so \( y \) becomes \( y - 3 \).

Answer:

\((x,y)\to(x - 5,y - 3)\)