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Unit 6 Part 1. Review. 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
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Unit 6 Part 1 Review
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!
Describe the change from y = x2 2 Reflected over x-axis (or inverted) Stretched vertically
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)
Identify parts of quadratic function WITHOUT graphing = y Vertex (3, 6) AOS : x = 3
Identify parts of quadratic function WITHOUT graphing Find vertex and solutions Vertex (-1, -12) Solutions
Transformations When graphed, which equation will yield the same maximum value as + 7 B) - 15 C) - 7 D) + 15 D
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
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
Writing equations What is the correct equation in standard form of the graph shown? -x2 + 4x -3
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
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
Writing equations What is the correct equation in vertex form of the graph shown? 2(x-1)2+ 3
Solving Equations by Factoring -7 = -4x