\begin{tabular}{|l|l|}\hline \multicolumn{1}{|c|}{+2} \\ \hline p, & \( \begin{array}{l}\text { 7. Describe the effect of changing the constant d } \\ \text { in the equation } y=(x-5)^{2}-d\end{array} \) \\ Answer: \\ \hline\end{tabular}

Changing the constant \( d \) in the equation \( y = (x-5)^2 - d \) vertically shifts the entire parabola up or down on the graph. If \( d \) increases, the graph moves downward, meaning the vertex of the parabola becomes lower. Conversely, if \( d \) decreases, the parabola shifts upward, making the vertex higher. This alteration affects the y-values of the parabola without changing its shape or direction. Moreover, this equation represents a parabola that opens upwards, and the vertex is located at the point (5, -d). Therefore, by tweaking \( d \), you can easily control where your graph sits on the y-axis. It’s like conducting an orchestra: raise or lower that baton and watch how the music—er, I mean the graph—responds accordingly!