2. Suppose f is a quadratic polynomial function that has a y-intercept at (0, -3) and roots at x = 2 and x = . (a) Sketch a graph of f. Include the given information. (b) Write an equation for f in factored form. Show your work to arrive at this equation. 3. Mona owns a small business that manufactures dog sunglasses. Their hourly production costs are C(x) = 0.25x-6x+276 where C is the total cost in dollars and x is the number of pairs produced. (a) What is the hourly cost to make 0 dog sunglasses? (b) Find the vertex of the cost function. Show your work. (c) How many pairs of dog sunglasses should be produced each hour to yield a minimum cost to Mona's business? Justify your answer.