Question

4.1 engage: grid transformations
due on 10.30.2025 10 total points 2 total attempts
answer the question correctly to continue:
if a point ( a(5,2) ) is reflected over the ( y )-axis, where is ( a )?
( a=(-5,-2) )
( a=(-2,5) )
( a=(-5,2) )
( a=(5,-2) )

Explanation:

Step1: Recall the reflection rule over y - axis

When a point \((x,y)\) is reflected over the \(y\) - axis, the rule is \((x,y)\to(-x,y)\).

Step2: Apply the rule to point \(A(5,2)\)

Here \(x = 5\) and \(y=2\). Using the rule \((x,y)\to(-x,y)\), we substitute \(x = 5\) into \(-x\). So \(-x=-5\) and \(y = 2\) remains the same.

Answer:

\(A'=(-5,2)\)