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Mathematical Game Challenge: Quadratic Functions

Join the fun in this math game where teams wager money based on their knowledge of quadratic functions. Solve problems and win money to come out on top with the most cash at the end! Learn about quadratic equations, transformations, vertex form, and more without graphing. Apply your skills with real-world scenarios like a kangaroo's jump height and a rocket's launch. Test yourself by identifying parts of graphs, writing equations, and solving quadratic equations by factoring. Are you up for the challenge?

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Mathematical Game Challenge: Quadratic Functions

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  1. Unit 6 Part 1 Review

  2. How to Play • 1. Every team begins with $50. • 2. A category will appear on the screen. Your team • must wager money based on your knowledge of the • topic. You cannot risk more than half of your money • at a time. • 3. As a team, you will solve the problem. If you get it • right, you receive the money you risked. If you get it • wrong, that money is taken away. Record this on your • chart. • 4. The team with the most money at the end of the • period wins!

  3. Describe the change from y = x2 2 Reflected over x-axis (or inverted) Stretched vertically

  4. Identifying parts of the graph given the vertex form of a quadratic y – 2 = -(x - 4)2 • Vertex: (4, 2) • AOS: x = 4 • Roots: (2.6, 0) and (5.4, 0)

  5. Identify parts of quadratic function WITHOUT graphing = y Vertex (3, 6) AOS : x = 3

  6. Identify parts of quadratic function WITHOUT graphing Find vertex and solutions Vertex (-1, -12) Solutions

  7. Transformations When graphed, which equation will yield the same maximum value as + 7 B) - 15 C) - 7 D) + 15 D

  8. Application A kangaroo can jump with an initial vertical velocity of 18 feet per second. Its path is modeled by h(t) = -16t2 + 18t When does the kangaroo reach his max height? At 0.56 seconds

  9. Application A miniature rocket is launched off a roof 20 feet above the ground with an initial velocity of 22 feet per second. Its path is modeled by h(t) = -16t2 + 22t + 20 How high did the rocket travel? About 27.6 ft

  10. Writing equations What is the correct equation in standard form of the graph shown? -x2 + 4x -3

  11. Application A kangaroo can jump with an initial vertical velocity of 18 feet per second. Its path is modeled by h(t) = -16t2 + 18t How high can the Kangaroo jump? 5.06 ft or about 5 ft

  12. Application A miniature rocket is launched off a roof 20 feet above the ground with an initial velocity of 22 feet per second. Its path is modeled by h(t) = -16t2 + 22t + 20 When does the rocket hit the ground? After 2 seconds

  13. Writing equations What is the correct equation in vertex form of the graph shown? 2(x-1)2+ 3

  14. Solving Equations by Factoring -7 = -4x

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