Graph FG with points F(-3, -1) and its image after the reflection in the line y=-x.

To solve this question, we will apply the general reflection rule for a function reflected over the line y=-x
Given a line with the initial coordinates (x,y), if reflected over the line y=-x will become (-y, -x)
Hence, the transformation is
[tex]T(x,y)\Rightarrow(-y,-x)[/tex]Applying this to the initial coordinates of the question F(-3,-4) and (-3,-1)
So that
[tex]\begin{gathered} T(-3,-4)=(4,3) \\ T(-3,-1)=(1,3) \end{gathered}[/tex]The graph is shown below