Given the point:
[tex]\mleft(-7,1\mright)[/tex]
You know that it must be reflected across the Origin.
Then, it is important to remember that the rule for this type of translation is the following:
[tex](x,y)\rightarrow\mleft(-x,-y\mright)[/tex]
Therefore, knowing this rule, you can find the Image of the point given in the exercise by applying it:
[tex](-7,1)\rightarrow(7,-1)[/tex]
Hence, the answer is: Option A.
