Quadradic Equation Word Problems - Examples & Practice

Since the 2018-2019 hockey season started last night, let's incorporate some hockey into this problem. On this play, Adam Henrique flips the puck over Sami Vatanen to give himself a mini-breakaway and score. If the puck follows the path of $y = -x^{2}+46x+200$, then what distance, $x$, did the puck go from the moment Henrique flipped it to when it landed? Give the positive answer of the quadratic.