The graph of a quadratic function
This is a 3 chapter GeoBook to illustrate the effect of modifying the value of the coefficients of a quadratic function on its graph. First the correspondence between how "wide" or "narrow" the graph becomes, as the leading coefficient is "close" to zero. Later what is the correspondence between the graph and the value of the constan parameter, when the vertex belongs to the "y" axis. Finally, how modifying parameters a, h, and k modify the position and the shape of the parabola.
Table of Contents
- Leading coefficient
- Basic Quadratic Function (I)
- Traslations
- Basic Quadratic Function (II)
- Transforming Graphs of Quadratic Functions (1)
- The graph of a quadratic function
- Quadratic Function
- Graphing Quadratic Functions
- Practice
- The graph of a quadratic function 01: Formative assessment
Basic Quadratic Function (I)
[color=#000000]Interact with the applet below for a minute. [br]Then, answer the question that follows. [/color]
[color=#000000]How does the parameter "a" affect the graph of this quadratic function? [br]Explain. [/color]
Basic Quadratic Function (II)
[color=#000000]Interact with the applet below for a minute. [br]Then, answer the question that follows. [/color]
How does the parameter "a" affect the graph of this quadratic function? [br]Explain.
How does the [color=#0000ff][b]parameter "c"[/b][/color] affect the graph of this quadratic function? Explain.