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Algebra T3

The future belongs to those who believe in the beauty of their dreams. Eleanor Roosevelt. Today: 9.2 Check Up 9.3 Instruction Break – AFV Finish 9.3 Practice. Algebra T3. Dividers Purpose/Goals Notes Assignments Check-Ups Paper/Graph Paper. 9.3 Graphing Quadratic Functions

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Algebra T3

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  1. The future belongs to those who believe in the beauty of their dreams. Eleanor Roosevelt Today: 9.2 Check Up 9.3 Instruction Break – AFV Finish 9.3 Practice Algebra T3

  2. Dividers • Purpose/Goals • Notes • Assignments • Check-Ups • Paper/Graph Paper

  3. 9.3 Graphing Quadratic Functions Objective: Identify a quadratic equation Identify the vertex and axis of symmetry of a parabola Graph a quadratic function Vocabulary: quadratic equation, standard form, parabola, vertex, axis of symmetry Algebra T3

  4. Quadratic function: y = ax2 + bx + c, but a ≠ 0 Is this a quadratic function? If yes, find a, b, c. y = 4x2 + x – 4

  5. Quadratic function: y = ax2 + bx + c, but a ≠ 0 Is this a quadratic function? If yes, find a, b, c. y = 4x2 + 4

  6. Quadratic function: y = ax2 + bx + c, but a ≠ 0 Is this a quadratic function? If yes, find a, b, c. y = 4x2

  7. Quadratic function: y = ax2 + bx + c, but a ≠ 0 Is this a quadratic function? If yes, find a, b, c. y = x – 4

  8. Quadratic function: y = ax2 + bx + c, but a ≠ 0 Is this a quadratic function? If yes, find a, b, c. y2 = 3x2 – 3x + 2

  9. Quadratic function: y = ax2 + bx + c, but a ≠ 0 Is this a quadratic function? If yes, find a, b, c. y = 3x2 – 3x + 2

  10. Quadratic function: y = ax2 + bx + c, but a ≠ 0 Is this a quadratic function? If yes, find a, b, c. y = -2x3 + 3x2 – x + 12

  11. Quadratic function: y = ax2 + bx + c, but a ≠ 0 Is this a quadratic function? If yes, find a, b, c. y = -13x2 – x

  12. Parabola Graph y = x2 + 3x - 4

  13. Parabola • The graph of y = ax2 + bx + c is a parabola. • If a is positive, the parabola opens up. • If a is negative, the parabola opens down. • The vertex has an x-coordinate of • The axis of symmetry is the vertical line

  14. Parabola • Steps to graph a parabola. • Find the x-coordinate of the vertex. • Make a table of values, using x values to the left and right of the vertex (5 pts). • Plot the points and connect the points singing La-La-La to make a smooth parabolic curve. Graph: y = x2 – 2x + 3

  15. Parabola • Steps to graph a parabola. • Find the x-coordinate of the vertex. • Make a table of values, using x values to the left and right of the vertex. • Plot the points and connect the points singing La-La-La to make a smooth curve making a parabola. Graph: y = -2x2 – x + 2

  16. Parabola • Steps to graph a parabola. • Find the x-coordinate of the vertex. • Make a table of values, using x values to the left and right of the vertex. • Plot the points and connect the points singing La-La-La to make a smooth curve making a parabola.

  17. ADD A PROBLEM! The Real World

  18. The future belongs to those who believe in the beauty of their dreams. Eleanor Roosevelt Due tomorrow: 9.3 p521 #21-57 x3 Quiz 9.1-3 Monday Supplies Checked during Quiz Assignment

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