For this you can locate the points 7 units to the left of point C and 7 units to the right of point C, that is:
First point:
[tex]C(1,-4)\rightarrow C^{\prime}(1+7,-4)=C^{\prime}(8,-4)[/tex]
Second point:
[tex]C(1,-4)\rightarrow C^{\prime}^{\prime}^{}(1-7,-4)=C^{\prime}^{\prime}(-6,-4)[/tex]
Therefore, the coordinates of the points will be
[tex]\begin{gathered} C^{\prime}(8,-4) \\ C^{\prime\prime}(-6,-4) \end{gathered}[/tex]
Graphically,
