Question

youre designing the transformation logic for a grid - based video game level. a triangle starts in its original position - triangle abc - and will move in three different ways. your job is to apply each transformation, describe the results mathematically, and explain how you know your answers are correct. no images are given - you must visualize or sketch them yourself to complete the analysis. short response questions (7 questions) answer the questions below using the provided textboxes. question 1 3 points what is the coordinate rule for translating triangle abc 5 units right and 3 units down?

Explanation:

Step1: Analyze horizontal translation

For a horizontal translation (right), we add to the \(x\) - coordinate. Moving 5 units right means the new \(x\) - coordinate \(x'\) of a point \((x,y)\) is \(x'=x + 5\).

Step2: Analyze vertical translation

For a vertical translation (down), we subtract from the \(y\) - coordinate. Moving 3 units down means the new \(y\) - coordinate \(y'\) of a point \((x,y)\) is \(y'=y-3\).

Answer:

The coordinate rule is \((x,y)\to(x + 5,y - 3)\)