\( \begin{array}{ll}\text { (1) } y=x^{2}-14 x+39 & \text { (3) } y=x^{2}-14 x+44 \\ \text { (2) } y=-x^{2}+14 x-54 & \text { (4) } y=-x^{2}-10 x-18\end{array} \)

The first equation, \( y = x^2 - 14x + 39 \), represents a parabola that opens upwards, with its vertex at the point where \( x = 7 \). This vertex represents a minimum, making it an important aspect of the graph. The constant term helps in finding the y-intercept, which is \( 39 \) in this case! On the other hand, the second equation, \( y = -x^2 + 14x - 54 \), describes an inverted parabola that opens downwards, indicating a maximum point. This can be useful in various applications such as maximizing profit in a business scenario. Each parabolic graph has its unique features that can suggest different behaviors and impacts on their respective contexts!