Answer :

ANSWER:

(-4, -1)

STEP-BY-STEP EXPLANATION:

From the point (-4, -2), the first thing is to translate it 3 units up, as follows:

[tex]P(-4,-2)\rightarrow P^{\prime}(-4,-2+3)\rightarrow P^{\prime}(-4,1)[/tex]

Now, the reflection over the x-axis has the following rule:

[tex]\begin{gathered} (x,y)\rightarrow(x,-y) \\ \\ \text{ We apply in this case:} \\ \\ P^{\prime}(-4,1)\rightarrow P^{\prime}^{\prime}(-4,-1) \end{gathered}[/tex]

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