Question

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

Answer 1

(-4, -1)

Explanation:

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

`P(-4,-2)\rightarrow P^(\prime)(-4,-2+3)\rightarrow P^(\prime)(-4,1)`

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

`\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}`