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Published byNathan Baldwin Modified over 6 years ago

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Chapter 5 Quadratic Functions Review

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Question 1a Identify the vertex, the axis of symmetry, create a table, then graph. y = x² - 8x + 5

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Question 1b Identify the vertex, the axis of symmetry, create a table, then graph. y = -2(x-3)² + 5

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Question 1c Write the standard form of the quadratic function: y = -2(x-3)² + 5

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Question 1d Graph the quadratic inequality: y > x² - 2

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Question 2a Solve by factoring: x 2 – 6x =0

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Question 2b Solve by factoring: x 2 – 64 =0

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Question 2c Solve using the quadratic formula: 2x 2 + 12x - 10 = 0

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Question 2d What is the discriminant and how is it used to help solve a quadratic equation? Be VERY specific.

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Question 3a Solve using any method: 5(x-2) 2 +10 = 35

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Question 3b Solve using any method: 3x 2 + 10 = 2x 2 - 14

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Question 3c Solve by completing the square: x 2 + 10x – 14 = 0

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Question 3d Write in vertex form: y = x 2 + 12x – 8

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Question 4a Which quadratic function in vertex form has a graph with vertex (-3, 5) and passes through the point (-2, 7)?

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Question 4b Find the solution(s) for the systems of equations. y = x 2 + 12x – 8 y = -2x - 8

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Question 4c A spring board diver is performing a very difficult dive. The spring board is 10 feet off of the ground. The diver jumps with an initial velocity of 15 feet per second. What is the equation to represent this situation?

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Question 4d What is the maximum height of the diver?

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Question 4e Write and solve an equation that will tell you at what time the diver will be at least 2 feet off of the springboard?

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Question 4f If the water is 2 feet below the bottom of the springboard, then when will the diver hit the water?

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