Quadratic Functions

Tim Brzezinski, Oct 29, 2015

Contains applets relating to quadratic expressions and quadratic functions.

Table of Contents

  1. Parent Quadratic Function & Modifications
    1. Basic Quadratic Function (I)
    2. Basic Quadratic Function (II)
    3. Graphing Quadratic Functions
  2. Quadratic Expressions & Quadratic Equations
    1. Multiplying Binomials
    2. Solving Quadratic Equations Using Quadratic Formula (Quiz)
    3. Multiplying Binomials
  3. Older Versions of Newer Materials
    1. Quadratic Functions (Graph & Equation Anatomy)

1.

Parent Quadratic Function & Modifications

  • 1. Basic Quadratic Function (I)
  • 2. Basic Quadratic Function (II)
  • 3. Graphing Quadratic Functions

1.1.

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]
– Tim Brzezinski

1.2.

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1.3.

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2.

Quadratic Expressions & Quadratic Equations

  • 1. Multiplying Binomials
  • 2. Solving Quadratic Equations Using Quadratic Formula (Quiz)
  • 3. Multiplying Binomials

2.1.

Multiplying Binomials

In the following applet, you will use algebra tiles to multiply 2 binomials.
1) What is the formula for the area of a rectangle? [br]2) If a farmer partitioned his/her field into 4 separate regions, how could he/she find the area of this field? (Explain 2 methods of calculating the total area.)
– Tim Brzezinski, garnettn

2.2.

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2.3.

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3.

Older Versions of Newer Materials

  • 1. Quadratic Functions (Graph & Equation Anatomy)

3.1.

Quadratic Functions (Graph & Equation Anatomy)

Applet contains 3 sliders: "a" slider, "h" slider, and "k" slider. [br]The equation of any quadratic function (with "a" not = to zero) is ALWAYS a parabola. [br]Move the sliders around to see the changes in the equation of a the displayed parabola. (The equation will change as you move any slider.) [br][br]Questions are contained below the applet.
Questions: [br][br]1) How does the parameter "h" seen in the equation of the parabola?[br]2) How does the parameter "k" seen in the equation of the parabola?[br]3) What effect(s) does the parameter "a" have on the graph (parabola)? Explain in detail. [br]4) Are the coordinates (x, y) of the vertex of the parabola made evident in its equation? If so, how? Explain in detail.
– Tim Brzezinski

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