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Investigating Graphs of Quadratic Functions

Investigating Graphs of Quadratic Functions. Objectives. You will be able to describe how the values of the coefficients of a quadratic function affect the graph. You will be able recognize the graph of a quadratic function by it’s equation. . Review.

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Investigating Graphs of Quadratic Functions

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  1. Investigating Graphs of Quadratic Functions

  2. Objectives • You will be able to describe how the values of the coefficients of a quadratic function affect the graph. • You will be able recognize the graph of a quadratic function by it’s equation. Algebra I Honors Graphing Quadratic Functions Pankowski

  3. Review How to graph a quadratic function by hand: 1. Find the x-coordinate of the vertex: -b/(2a). 2. Make a table of values, using x-values to the left and right of the vertex. 3. Plot the points and connect them with a smooth curve to form a parabola. Algebra I Honors Graphing Quadratic Functions Pankowski

  4. x-coordinate of vertex y-coordinate of vertex Vertex a = 1 b = -2 c = -3 Example: Algebra I Honors Graphing Quadratic Functions Pankowski

  5. Pick values to left and right of Vertex (equidistant from vertex) -The vertex is located at (1,-4). -One unit to the right and left of x=1 are x=0 and x=2. -Two units to the right and left of x=1 are x=3 and x=-1. -Make a table by substituting these x-values into your function to find their corresponding y-values. Algebra I Honors Graphing Quadratic Functions Pankowski

  6. Algebra I Honors Graphing Quadratic Functions Pankowski

  7. Table of Values Algebra I Honors Graphing Quadratic Functions Pankowski

  8. Plot the Points and Connect a Smooth Curve Algebra I Honors Graphing Quadratic Functions Pankowski

  9. Investigation • Open your laptop • Open the file on your desktop labeled “Multimedia1a_Dynamic_Worksheet_EHP.html” • Answer the questions on the worksheet by investigating using the sliders Algebra I Honors Graphing Quadratic Functions Pankowski

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