The reflection of point H(1, 4) over the x-axis, denoted as H', has coordinates (1, -4) as shown in the coordinate grid attached below.
How to reflect a point over the x-axis?
When a point is reflected over the x-axis, the y-coordinate changes sign while the x-coordinate remains the same, in other words, this changes the sign of the y-coordinate while leaving the x-coordinate unchanged.
In this case, given point H(1, 4), the reflection H' over the x-axis will give coordinates of (1, -4) because you change the sign of the y-coordinate.
Therefore, the coordinates of the reflected point H' will be (1, -4)as graphed below.