Answer: Third option. (-5, 1)
Solution:
Coordinates of the point A=(-5, 1)
1) Reflection over the y-axis
When you reflect a point P=(x,y) over the y-axis its coordinates changes to the point P'=(-x,y). In this case:
A=(-5, 1)=(xa, ya); xa=-5, ya=1→A'=(-xa, ya)=(-(-5), 1)→A'=(5, 1)
2) Reflection over the x-axis
When you reflect a point P=(x,y) over the x-axis its coordinates changes to the point P'=(x,-y). In this case:
A'=(5, 1)=(xa', ya'); xa'=5, ya'=1→A''=(xa', -ya')→A''=(5, -1)
3) Rotation 180° about the origin
When you ratate a point P=(x,y) 180° about the origin its coordinates changes to the point P'=(-x, -y). In this case:
A''=(5, -1)=(xa'', ya''); xa''=5, ya''=-1→A'''=(-xa'', -ya'')=(-5, -(-1))→A'''=(-5, 1)