Question

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Explanation:

Step1: Identify reflection rule

Reflection over x-axis changes (a,b) to (a,-b) → matches Point3.

Step2: Identify horizontal stretch rule

Horizontal stretch by factor 4: replace x with x/4 → (a,b)→(4a,b) → matches Point1.

Step3: Identify vertical stretch rule

Vertical stretch by 1/3: multiply y by 1/3 → (a,b)→(a,b/3) → matches Point4.

Step4: Identify horizontal flip rule

y=f(-x) flips x-sign: (a,b)→(-a,b) → matches Point2.

Step5: Identify vertical compression rule

y=(1/4)f(x) compresses y by 1/4: (a,b)→(a,b/4) → matches Point4.

Step6: Identify vertical stretch rule

y=4f(x) stretches y by 4: (a,b)→(a,4b) → matches Point6.

Answer:

2
1
4
3
5
6