A19-3 graphing quadratics
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  • 1. Algebra 1
    9.3
    Quadratic Functions
  • 2.
  • 3. A function with x2 is called a quadratic function.
  • 4. A function with x2 is called a quadratic function.
    The general form for a quadratic function is y =ax2 + bx + c.
  • 5. A function with x2 is called a quadratic function.
    The general form for a quadratic function is y =ax2 + bx + c.
    a is called the leadingcoefficient.
  • 6. A function with x2 is called a quadratic function.
    The general form for a quadratic function is y =ax2 + bx + c.
    a is called the leadingcoefficient.
    The vertex is the lowest or highest point on the parabola.
  • 7. A function with x2 is called a quadratic function.
    The general form for a quadratic function is y =ax2 + bx + c.
    a is called the leadingcoefficient.
    The vertex is the lowest or highest point on the parabola.
    The axis of symmetry is the vertical line through the vertex.
  • 8. Choose one person to be the grapher.
    Choose one person to be the recorder.
    Choose one person to be the summarizer.
    Get in groups of 3.
  • 9. Copy each set of graphs on a sheet of paper.
    Be sure to label each graph with the equation.
    Grapher
  • 10. As the group discusses the graphs, take notes of the discussion.
    Focus your group’s discussion around the differences among the
    Vertex
    Axis of symmetry
    Equation (coefficients)
    Recorder
  • 11. When your group finishes discussing the graphs, use the notes to come up with a summary statement (one sentence) about each set of graphs.
    Statement should use the examples to create a general rule.
    Summarizer
  • 12. You have 2 minutes to graph, discuss, and summarize each Graph Set.
  • 13. Graph Set #1
  • 14. Graph Set #2a
  • 15. Graph Set #2b
  • 16. Graph Set #3a
  • 17. Graph Set #3b
  • 18.
  • 19. The vertex has an x-coordinate
    Graphing
  • 20. If a is positive, the parabola opens up.
    Graphing
  • 21. If a is positive, the parabola opens up.
    If a is negative, the parabola opens down.
    Graphing
  • 22. Plot the vertex.
    To Graph
  • 23. Plot the vertex.
    Make a table of values for both sides of the x vertex.
    To Graph
  • 24. Plot the vertex.
    Make a table of values for both sides of the x vertex.
    Plot the points and connect the parabola.
    To Graph