When a point is reflected across the x-axis, the x-coordinate remains the same, while the y-coordinate changes sign.
Given the point \((314, 712)\), when reflecting this point across the x-axis, the coordinates will change as follows:
- The x-coordinate stays the same: \(314\)
- The y-coordinate changes sign: from \(712\) to \(-712\)
Thus, the coordinates for the point at the bottom of the heart in the reflected image are \((314, -712)\).