Applications of Quadratic Functions

1. The profit P(x) of a cosmetics company, in thousands of dollars, is given by P(x) = -5x2 + 400x + 2500, where x is the amount spent on advertising in thousands of dollars. What amount must be spent on advertising to obtain a profit of at least $4 000 000? 3. A plan for a satellite dish is sketched on the Cartesian plane. It has roots at -5 and 9 and passes through the point (-3, -1). a) Find the equation of the function that models the shape of the satellite dish. b) Convert the equation to vertex form and state the vertex. c) State the transformations applied in reference to the parent function f (x) = x2