1. What is an x-intercept of the graph of a quadratic function? How many possible x-intercepts does the graph of a quadratic function have? Explain?

Determine maximum or minimum income, earnings and investments through the vertex of a quadratic equation. Mrs. Miranda has a business selling cookies and biscuits. When you sell "x" items per year, the income is described by the quadratic function: f(x)= 72x – 0.08x2 1. Calculate the number of items you should sell each year for maximum income. 2. What is the maximum income?

The graph shows a quadratic function of the form R(t) = at2+bt+c, which represents the yearly revenue for a company, where R(t) is the revenue in year t.   a. Is the value of a positive, negative, or zero?  Explain. b. Write an expression in terms of a and b that represents the year t when the company had the least revenue. c. The company made the same yearly revenues in 2008 and 2018.  Estimate the year in which the company had the least revenue. d. Assume that the model is still valid today.  Are the yearly revenues currently increasing, decreasing, or constant?  Explain.

- Ticket Prices The price of one airline ticket is $250. For each additional ticket sold to a group, the price of every ticket is reduced by $2. For example, 2 tickets cost 2. 248 = $496 and 3 tickets cost 3. 246 = 5738. (a) Write a quadratic function that gives the total cost of buying x tickets. (b) What is the cost of 5 tickets? (c) How many tickets were sold if the cost is $5200? (d) What number of tickets sold gives the greatest total cost?

4. A company is told that when manufacturing 201 vehicles, it will minimize its production costs per vehicle to be $3015. If the company only manufactures 2 vehicles, the cost per vehicle is $82,217. Write a quadratic function representing the cost per vehicle C in terms of the number of vehicles manufactured v. Give final answer in Quadratic Form (not Transformation Form). Show work. Function:

helpp....i did half

A. Projectile Motion A child throws a ball upward from the roof of a house. The trajectory is parabolic, according to the laws of physics. The height of the ball above the ground, h(x) (in meters) is given by the quadratic function: h(x) = -3x2 + 6x + 4 where x is the horizontal distance from the house in meters. The goal of this tutorial is to graph this function and analyze and interpret the graph within the problem context. Show the following steps on the blackboard or paper as your instructor directs: a) State the coordinates of the h-intercept. Explain the meaning of this intercept within the problem context. b) Complete the square on the right-hand side to convert the function from general form to standard form. State the coordinates of the vertex. c) Find vertex by using the vertex formula. The result should be the same as in part b) above.