Step-by-step explanation:
Actually, it tells you exactly what to do.
First, translate, i.e., move over, the coordinates up by 3:
[tex](1, 4)\rightarrow (1+3, 4+3) = (4, 7)[/tex]
Then reflect this point about the x-axis and to do this,
[tex](x, y) \rightarrow (x, -y)[/tex]
[tex](4, 7) \rightarrow (4, -7)[/tex]
