Quadratic Functions and how they work.

Nic Nieuwenhuizen, May 5, 2024

Display of how the a; b and c values influence the graph of a quadratic function


  • 1. Basic Quadratic Function (II)
  • 2. The 3 forms of Quadratic functions

1.

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.
– Tim Brzezinski

2.

The 3 forms of Quadratic functions

Tick the equation form you wish to explore and move the sliders.[br]Which key features relate directly to each form? (vertex, axis of symmetry, roots, y-intercept)[br]Can the graphs of quadratic functions [u]always[/u] be represented algebraically in the 3 forms? [br]Why or why not?
– shanlee

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