Which is one of the transformations applied to the graph of f(x) = x2 to produce the graph of p(x) = –50 + 14x – x2?

Complete the square: p(x) = −x² + 14x − 50 = −(x − 7)² − 1. The −1 at the end means the graph is shifted down 1 unit, so choice A is correct. The expression also shows a reflection across the x-axis and a shift right 7 units.

AI-written and checked against the verified answer.