Question

given points ( j(3,3) ), ( a(6,4) ), and ( r(4,2) ), graph ( \triangle jar ) and its reflection image across the given line. the ( y )-axis choose the correct graph below.

Explanation:

Step1: Find the reflection of each point across the y - axis

The rule for reflecting a point \((x,y)\) across the \(y\) - axis is \((x,y)\to(-x,y)\).
For point \(J(3,3)\), its reflection \(J'(- 3,3)\).
For point \(A(6,4)\), its reflection \(A'(-6,4)\).
For point \(R(4,2)\), its reflection \(R'(-4,2)\).

Step2: Analyze each option

• Option A: The reflection points do not follow the \((x,y)\to(-x,y)\) rule.
• Option B: The reflection points do not follow the \((x,y)\to(-x,y)\) rule.
• Option C: The reflection points \(J'(-3,3)\), \(A'(-6,4)\), \(R'(-4,2)\) follow the \((x,y)\to(-x,y)\) rule.
• Option D: The reflection points do not follow the \((x,y)\to(-x,y)\) rule.

Answer:

C.