Chapter 10 Mini-Quiz Review PDF

Name ____________________________ T _____ Date ___________________ Quiz Review: Chapter 10 (Page 1 of 4) Graph the quadratic functions by showing the vertex and 4 other points 2 2 1. 𝑦 =− (𝑥 − 2) + 3...

Name ____________________________ T _____ Date ___________________ Quiz Review: Chapter 10 (Page 1 of 4) Graph the quadratic functions by showing the vertex and 4 other points 2 2 1. 𝑦 =− (𝑥 − 2) + 3 2. 𝑦 = 2(𝑥 + 1) − 4 1 2 2 3. 𝑦= 2 𝑥 +3 4. 𝑦 = (𝑥 + 3) Graph the quadratic functions by showing the vertex and 4 other points 2 1 2 5. 𝑦 = 𝑥 − 4𝑥 + 1 6. 𝑦 =− 2 𝑥 + 2𝑥 Quiz Review: Chapter 10 (Page 2 of 4) Graph the quadratic functions by showing the vertex and 4 other points 1 2 2 7. 𝑦 =− 3 𝑥 +3 8. 𝑦 = − 2𝑥 + 4𝑥 + 3 Solve by using the quadratic formula. Put into simplified radical form 9. ½x2 - x - 4 = 0 10. 4x2 - 6x + 3 = 0 11. 4x2 + 8x = 1 12. 3x2 - 7x = -3 Quiz Review: Chapter 10 (Page 3 of 4) Solve the following word problems 13. Productivity is a measurement of how productive students are during their period. 100% productivity means that a student is on task all the time during the period. 0% productivity means that the student is goofing around all period. Mr. Marcotte wanted to figure out the best length of time a class should be in order to get the highest productivity from the students. He found out the following relationship between class time and productivity. P = –0.025t2 + 3t where P = the productivity (in %) and t = the length of the class (in minutes) a. What is the productivity of a class that is 90 minutes long? b. How long should the class be to maximize productivity? c. What is the maximum productivity obtainable? d. What is the minimum length of time class if Mr. Marcotte is OK with 70% productivity? Quiz Review: Chapter 10 (Page 4 of 4) Solve the following word problems 14. Anish throws a baseball from center field toward home plate. The equation below models the height of the ball, y, based on the time that the ball is in the air, x. y = –x2 + 6x + 6 where y = height of the ball (feet) and x = time that the ball is in the air (in seconds) a. What is the maximum height that the ball will achieve? b. What will the height of the ball be after 2 seconds? c. How much time will pass until the ball hits the ground? d. At what height was the ball thrown at? e. The ball crosses home plate after 5.5 seconds. If Sreejan can reach up as high as 7 feet, will he be able to catch the ball? Explain why or why not.