Answer:
[tex]A'(-6,4)\\B'(-3,-5)\\ C'(1,1)[/tex]
Step-by-step explanation:
The given vertices are
[tex]A(-6,-4)\\B(-3,5)\\C(1,-1)[/tex]
Now, when we reflect a figure across the x-axis, the coordinates of that figure change. In this case, all vertical coordinates (y-variable) must change to its opposite in order to ensure the reflection across the x-axis.
[tex]A(-6,-4) \implies A'(-6,4)\\B(-3,5) \implies B'(-3,-5)\\C(1,-1) \implies C'(1,1)[/tex]
Therefore, the vertices of the reflected image are
[tex]A'(-6,4)\\B'(-3,-5)\\ C'(1,1)[/tex]