Question

two quadratic function questions will give medal

Question 1:
The graph below shows a company's profit f(x), in dollars, depending on the price of erasers x, in dollars, being sold by the company: http://gyazo.com/64769274c0fc567974048746a2597978 <- graph picture

Part A: What do the x-intercepts and maximum value of the graph represent? What are the intervals where the function is increasing and decreasing, and what do they represent about the sale and profit? (5 points)

Part B: If at one time the profit of the company was at least $120 what domain could possibly produce this profit?

Answer 1

Part C: What is an approximate average rate of change of the graph from x = 1 to x = 4, and what does this rate represent? (3 points)

Question 2: The function H(t) = -16t2 + vt + s shows the height H (t), in feet, of a projectile launched vertically from s feet above the ground after t seconds. The initial speed of the projectile is v feet per second.

Part A: The projectile was launched from a height of 90 feet with an initial velocity of 50 feet per second. Create an equation to find the time taken by the projectile to fall on the ground. (2 points)

Part B: What is the maximum height that the projectile will reach? Show your work. (2 points)

Part C: Another object moves in the air along the path of g(t) = 28 + 48.8t where g(t) is the height, in feet, of the object from the ground at time t seconds.