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WARM UP

WARM UP. A true rebel, Leslie often did what was ------- simply to demonstrate her inclination to defy taboos. (A) intrepid (B ) monotonous (C) customary (D ) arduous (E) forbidden. Warm Up.

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WARM UP

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  1. WARM UP • A true rebel, Leslie often did what was ------- simply to demonstrate her inclination to defy taboos. • (A) intrepid (B) monotonous • (C) customary (D) arduous • (E) forbidden

  2. Warm Up • Salt Ais valued not only because of its properties Bas a condiment and preservative, Cbut it is Dessential to the health of humans and animals. ENo error • (A)   (B)   (C)   • (D)   (E)  

  3. Algebra 3 Chapter 5 Lesson 8 Modeling with Quadratic Functions

  4. VOCAB • Vertex Form – • Intercept Form – • Standard Form – • Vertex – (h, k)

  5. Directions (VERTEX and INTERCEPT FORM) • Plug all given info into the equation • Solve for a • Rewrite the equation

  6. I DO (VERTEX Form) • Write a quadratic function for the given info 1. Vertex (2, -3) and point (4, 1) 2. Vertex (2, -1) and point (4, 3) 3. Vertex (-4, 6) and point (-1, 9) 4. Vertex (4, 5) and point (8, -3)

  7. WE DO (VERTEX Form) • Write a quadratic function for the given info 1. Vertex (0, 0) and point (-2, -12) 2. Vertex (1, -10) and point (-3, 54) 3. Vertex (-6, -7) and point (0, -61) 4. Vertex (1, 3) and point (-1, -1)

  8. YOU DO (VERTEX Form) • Write a quadratic function for the given info 1. Vertex (2, -2) and point (0, 2) 2. Vertex (-1, 4) and point (-2, 2) 3. Vertex (1, 0) and point (-1, -3)

  9. HOMEWORK • 5.8 (1-9)

  10. Directions • Plug all given info into the equation • Solve for a • Rewrite the equation

  11. I DO (INTERCEPT Form) • Write a quadratic function for the given info 1. p = -2 q = 3 point (-1, 2) 2. p = 3 q = -3 point (1, -4) 3. p = -2 q = 1 point (-1, -6) 4. p = 0 q = 4 point (3, 3)

  12. WE DO (INTERCEPT Form) • Write a quadratic function for the given info 1. p = 1 q = 4 point (3, 2) 2. p = -2 q = 2 point (-4, 8) 3. p = -1 q = 6 point (1, -20)

  13. YOU DO (INTERCEPT Form) • Write a quadratic function for the given info 1. p = 3 q = 9 point (14, 77) 2. p = -5 q = 0 point (-3, 18) 3. p = -10 q = -8 point (-7, -15)

  14. HOMEWORK • 5.8 (1-9) Vertex • 5.8 (10 – 18) Intercept

  15. Warm Up

  16. Directions (STANDARD FORM) • Plug each point in • Simplify • YOU will get 3 different equations • Solve the system of 3 equations • Rewrite your equation

  17. I DO (Standard Form) Write a quadratic function in standard form that goes through the 3 points • 1. (-1 , 2) (0 , 4) (3 , -2) • 2. (2 , 7) (3 , 2) (5 , 4) • 3. (-5 , -4) (-4 , 0) (0 , 1) • 4. (-1 , 5) (0 , 3) (3 , 9)

  18. WE DO (Standard Form) Write a quadratic function in standard form that goes through the 3 points • 1. (1 , 2) (3 , 4) (6 , -8) • 2. (-2 , -1) (1 , 11) (2 , 27) • 3. (-4 , -7) (-3 , 3) (3 , -21) • 4. (-3 , -4) (-1 , 0) (9 , -10)

  19. YOU DO (Standard Form) Write a quadratic function in standard form that goes through the 3 points • 1. (-6 , 46) (2 , 14) (4 , 56) • 2. (-4 , 2) (-2 , -4) (1 , 2) • 3. (-2 , 0) (-1 , 2) (3 , 0)

  20. REVIEW • Over the past week we learned how to model a quadratic equation.

  21. HOMEWORK • 5.8 B (19 – 27)

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