Question

transformation detective
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.
question 2
3 points
what are the new coordinates of triangle abc after a reflection across the y - axis?
enter your response here

Explanation:

Step1: Identify the original coordinates

Assume the original coordinates of triangle \(ABC\) are \(A(-1,5)\), \(B(1,3)\), \(C(4,3)\) (estimated from the graph).

Step2: Apply the reflection rule

The rule for reflection across the \(y\) - axis is \((x,y)\to(-x,y)\).
For point \(A(-1,5)\): \((-1,5)\to(1,5)\)
For point \(B(1,3)\): \((1,3)\to(-1,3)\)
For point \(C(4,3)\): \((4,3)\to(-4,3)\)

Answer:

The new coordinates of triangle \(ABC\) after reflection across the \(y\) - axis are \(A'(1,5)\), \(B'(-1,3)\), \(C'(-4,3)\).