10.9: Chapter 10 Review Difficulty Level: At Grade Created by: CK-12 CK-12 Algebra - Basic Quadratic Equations and Functions Read Resources Details Define each term. Vertex Standard form for a quadratic equation Model Discriminant Graph each function. List the vertex (round to the nearest tenth, if possible) and the range of the function. Rewrite in standard form. Solve each equation by graphing. Solve each equation by taking its square roots. Solve each equation by completing the square then taking its square roots. Determine the maximum/minimum point by completing the square. Solve each equation by using the Quadratic Formula. In 45-50, for each quadratic equation, determine: (a) the discriminant (b) the number of real solutions (c) whether the real solutions are rational or irrational Explain the difference between and . Jorian wants to enclose his garden with fencing on all four sides. He has 225 feet of fencing. What dimensions would give him the largest area? A ball is dropped off a cliff 70 meters high. Using Newton’s equation, model this situation. What is the leading coefficient? What does this value tell you about the shape of the parabola? What is the maximum height of the ball? Where is the ball after 0.65 seconds? When will the ball reach the ground? The following table shows the number of hours spent per person playing video games for various years in the United States. What seems to be the best function for this data? Find the best fit function. Using your equation, predict the number of hours someone will spend playing video games in 2012. Does this value seem possible? Explain your thoughts. The table shows the amount of money spent (in billions of dollars) in the U.S. on books for various years. Find a linear model for this data. Use it to predict the dollar amount spent in 2008. Find a quadratic model for this data. Use it to predict the dollar amount spent in 2008. Which model seems more accurate? Use the best model to predict the dollar amount spent in 2012. What could happen to change the value of 'c'? The data below shows the number of U.S. hospitals for various years. Find a quadratic regression line to fit this data. Use the model to determine the maximum number of hospitals. In which year was this? In what years were there approximately 7,000 hospitals? What seems to be the trend with this data? A pendulum’s distance is measured and recorded in the following table. What seems to be the best model for this data? Find a quadratic regression line to fit this data. Approximate the length of the seventh swing. Find an exponential regression line to fit this data. Approximate the length of the seventh swing. Image Attributions Description No description available here... Tags: CK.MAT.ENG.SE.1.Algebra-Basic.10 completing the square domain (7 more) graphing quadratic equations models quadratic equations quadratic formula range the discriminant vertex Subjects: mathematics Grades: 8 , 9 Date Created: Feb 22, 2012 Last Modified: Dec 11, 2014 You can only attach files to None which belong to you If you would like to associate files with this None, please make a copy first.