A quadratic function is a function with x^2 in its general form of y=ax^2 + bx + c. The vertex is the highest or lowest point of the parabola, located using the x-coordinate of -b/2a. The axis of symmetry is the vertical line passing through the vertex. Students work in groups of three, with designated roles of grapher, recorder, and summarizer to graph and analyze sets of quadratic functions based on their vertices, axes of symmetry, and coefficients.
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.
