ANSWER
(7, 5)
EXPLANATION
We want to find the reflection image of X.
The coordinates of X is (-1, 5).
When reflecting over a vertical axis, the x coordinate changes but the y coordinate does not change.
To reflect a point (x, y) (i.e. to find the new x coordinate) across the line x = a, find the distance between a and x, then add that to a.
That is the new x coordinate.
For the question, a = 3.
Therefore, for X(-1, 5):
[tex]\begin{gathered} a-x=3-(-1)=3+1 \\ a=4 \end{gathered}[/tex]
Adding that to a, the new coordinates are:
[tex]\begin{gathered} (4+3,5) \\ (7,5) \end{gathered}[/tex]
That is the reflection image of X.
