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Understanding and Solving Quadratic Functions in Standard Form

This unit covers key concepts related to quadratic functions, focusing on solving quadratic equations in standard form represented as ax² + bx + c = 0. Learn how to solve equations by factoring and using the quadratic formula. Work through example problems such as x² + 6x = 16 and 4w² + 19w - 5 = 0. Additionally, understand how to find the vertex of a quadratic function and apply techniques such as taking square roots for equations like 2m² - 7 = 57. Gain practical skills for solving quadratic equations effectively.

charity-carlson
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Understanding and Solving Quadratic Functions in Standard Form

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  1. What do you remember about quadratic functions? Unit 3 Quadratic Functions

  2. 3.1 Solving Quadratic Equations

  3. Standard Form • ax2 + bx + c = 0 • y = ax2 + bx + c

  4. Solve by factoring x2 + 6x =16

  5. Solve by factoring 4w2 + 19w – 5 = 0

  6. Solve by factoring 5n2 – 50n +105 = 0

  7. Solve by taking square roots 2m2 – 7 = 57

  8. Solve by taking square roots 3m2 + 3 = 96

  9. quadratic formula

  10. Solve by the quadratic formula 3x2 + 4 = 12x

  11. Find the vertex x2 – 4x + 7 = y

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