What is the reflection image of p(0, 0) after two reflections, first across x = -3 and then across y = 4?

The reflection image would be (-6,8).

Step-by-step explanation:

Since, when a point is reflected across a line x = p

Then, the rule of reflection is,

While, across a line y = p,

The rule of reflection is,

Thus, when (0,0) is reflected across x = -3,

The image after reflection is (-6,0),

Again when (-6,0) is reflected across y = 4,

Hence, the resultant image after both reflections would be (-6,8).

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