tionsFind the image of (-4, -2) obtained bytranslating 3 units up, followed by areflection over the x-axis.

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]