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Do Now

Do Now. 1. x ² - 2x +1 = 144 2. x² -22x +121 = 13. Go Over Quizzes. 1.7 Completing the Square. Objectives: SWBAT solve quadratic equations by completing the square. Review of Yesterday. Find the value of c that makes the expression a perfect square trinomial x² - 2x +c.

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Do Now

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  1. Do Now 1. x² - 2x +1 = 144 2. x² -22x +121 = 13

  2. Go Over Quizzes

  3. 1.7 Completing the Square Objectives: SWBAT solve quadratic equations by completing the square

  4. Review of Yesterday Find the value of c that makes the expression a perfect square trinomial x² - 2x +c

  5. Review of Yesterday Solve the equation by completing the square x² + 6x - 3 = 0

  6. Review of Yesterday 1. x² + 6x +5 = 36 2. x² - 12x + 36 = 1

  7. Vertex Form Remember that the vertex form of a quadratic function is y = a (x – h)² + k where (h,k) is the vertex of the function's graph. To write a quadratic function in vertex form, use completing the square

  8. Write y = x² - 10 + 22 in vertex form. Then identify the vertex y = x² - 10x + 22 y + _____ = x² - 10x + _____+22 y + 25 = (x² - 10x + 25) + 22 y + 25 = (x – 5)² + 22 y = (x – 5)² - 3 Vertex: ( 5 , -3 )

  9. Examples 1.) y = x² - 8x + 17 2.) y = x² + 6x + 3

  10. Examples 3.) y = x² + 7x + 2 4.) y = x² - 3x + 4

  11. Homework Page 54: 8 , 12 , 20, 21, 35, 41-44 , 50

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