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3 January 2010

3 January 2010. Algebra 2. Bellringer : Write in lowest terms. 300. 0 of 30. Agenda:. Progress Report Information Classroom Standards and Expectations Graphing Quadratic Functions Exit Ticket. Progress Report Information. Classroom Standards and Expectations.

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3 January 2010

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  1. 3 January 2010 Algebra 2

  2. Bellringer:Write in lowest terms • . • . • . • . • . 300 0 of 30

  3. Agenda: • Progress Report Information • Classroom Standards and Expectations • Graphing Quadratic Functions • Exit Ticket

  4. Progress Report Information

  5. Classroom Standards and Expectations

  6. Notes: Graphing Quadratic Functions 1/3 Functions are equations written in the form f(x) = ______ Functions

  7. Notes: Graphing Quadratic Functions 1/3 Functions are equations written in the form f(x) = ______ Example: f(x) = 5 or f(x) = 3x + 9 Functions

  8. Notes: Graphing Quadratic Functions 1/3 Functions are equations written in the form f(x) = ______ Example: f(x) = 5 or f(x) = 3x + 9 Quadratic functions are functions that have a degree of 2. Functions Quadratic Functions

  9. Notes: Graphing Quadratic Functions 1/3 Functions are equations written in the form f(x) = ______ Example: f(x) = 5 or f(x) = 3x + 9 Quadratic functions are functions that have a degree of 2. Example: f(x) = 2x2 + 4x – 9 Functions Quadratic Functions

  10. Notes: Graphing Quadratic Functions 1/3 Functions are equations written in the form f(x) = ______ Example: f(x) = 5 or f(x) = 3x + 9 Quadratic functions are functions that have a degree of 2. Example: f(x) = 2x2 + 4x – 9 Why is f(x) = x3 + x2 + 10 not quadratic? Functions Quadratic Functions

  11. Notes: Graphing Quadratic Functions 1/3 Functions are equations written in the form f(x) = ______ Example: f(x) = 5 or f(x) = 3x + 9 Quadratic functions are functions that have a degree of 2. Example: f(x) = 2x2 + 4x – 9 Why is f(x) = x3 + x2 + 10 not quadratic? Why is f(x) = x + 10 not quadratic? Functions Quadratic Functions

  12. Notes: Graphing Quadratic Functions 1/3 Use the formula x = -b to find the vertex. 2a b = # in front of x a = # in front of x2 Find the vertex of a quadratic Function Mathematics.FUN.401

  13. Notes: Graphing Quadratic Functions 1/3 Use the formula x = -b to find the vertex. 2a b = # in front of x a = # in front of x2 f(x) = 2x2 + 8x -9 Find the vertex of a quadratic Function Mathematics.FUN.401

  14. Notes: Graphing Quadratic Functions 1/3 Use the formula x = -b to find the vertex. 2a b = # in front of x a = # in front of x2 f(x) = 2x2 + 8x -9 x = - 8 2(2) Find the vertex of a quadratic Function Mathematics.FUN.401

  15. Notes: Graphing Quadratic Functions 1/3 Use the formula x = -b to find the vertex. 2a b = # in front of x a = # in front of x2 f(x) = 2x2 + 8x -9 x = - 8 2(2) x = -2 Find the vertex of a quadratic Function Mathematics.FUN.401

  16. Notes: Graphing Quadratic Functions 1/3 Use the formula x = -b to find the vertex. 2a b = # in front of x a = # in front of x2 f(x) = 2x2 + 8x -9 x = - 8 2(2) x = -2 f(x) = 2x2 + 8x -9 f(x) = 2(-2)2 + 8(-2) -9 = -17 Find the vertex of a quadratic Function Mathematics.FUN.401

  17. Notes: Graphing Quadratic Functions 1/3 Use the formula x = -b to find the vertex. 2a b = # in front of x a = # in front of x2 f(x) = 2x2 + 8x -9 x = - 8 2(2) x = -2 f(x) = 2x2 + 8x -9 f(x) = 2(-2)2 + 8(-2) -9 = -17 vertex = (-2,-17) Find the vertex of a quadratic Function Mathematics.FUN.401

  18. Notes: Graphing Quadratic Functions 1/3 Using the vertex you just found, make a table of (x,y) values * put the vertex on the middle line Making a table Mathematics.GRE.605

  19. Notes: Graphing Quadratic Functions 1/3 Using the vertex you just found, make a table of (x,y) values * pick any two numbers greater than the x value of your vertex (-2) Making a table Mathematics.GRE.605

  20. Notes: Graphing Quadratic Functions 1/3 Using the vertex you just found, make a table of (x,y) values * pick any two numbers less than the x value of your vertex (-2) Making a table Mathematics.GRE.605

  21. Notes: Graphing Quadratic Functions 1/3 Using the vertex you just found, make a table of (x,y) values * complete the rest of the table by substituting your x values into your function Making a table Mathematics.GRE.605

  22. Notes: Graphing Quadratic Functions 1/3 Using the (x,y) pairs you just found, plot the points on a graph. (0,-9) (-1,-15) (-2, -17) (-3,-15) (-4,-9) Graphing a Q.F. Mathematics.GRE.605

  23. Notes: Graphing Quadratic Functions 1/3 Connect the five points you have plotted. PHEW, Finally done!!!!! Graphing a Q.F. Mathematics.GRE.605

  24. Guided Practice:Graph f(x) = x2 – 4x – 3

  25. 1. Find the Vertex f(x) = x2 – 4x – 3 a = ________ b = ________ x = - ( ) 2( ) x = ______

  26. 2. Evaluate x2 – 4x – 3 to find y x = _____ ( )2 – 4( ) – 3 ( )2 – 4( ) – 3 = _______  This is your y value y = _______

  27. Using the vertex you just found, make a table of (x,y) values

  28. 4. List the 5 points you are going to graph: _______, _______, __(2,-7)_, _______, _______

  29. Exit Ticket:Find the vertex of the graph of f(x) = x2 + 2x + 4 • x = -1 • (-1, 3) • (-1, 1) • x = 1 • I need more help with this

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