Functions: Linear and Quadratic

Louise Boyle, Dec 5, 2022

Functions

Table of Contents

  1. Linear
    1. Linear Equation Anatomy
    2. Graphing Practice ( Linear)
  2. Quadratic
    1. Quadratic Function: Factor Form
    2. Quadratic Functions
    3. Graphing Practice ( Linear)

1.

Linear

  • 1. Linear Equation Anatomy
  • 2. Graphing Practice ( Linear)

1.1.

Linear Equation Anatomy

Move the LARGE POINTS to move the line. Show the grid if you'd like. Then answer the questions that follow.
How can we tell the slope a line by looking at its equation? Explain.
How can we tell the y-intercept of a line by looking at its equation? Explain.
– Tim Brzezinski

1.2.

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2.

Quadratic

  • 1. Quadratic Function: Factor Form
  • 2. Quadratic Functions
  • 3. Graphing Practice ( Linear)

2.1.

Quadratic Function: Factor Form

Factor form
Below is the graph of a Quadratic function in Factor Form.[br]You can move the sliders to make changes to the graph.
f(x)=(x+a)(x+b)
1
When a=1 and b=1, what are the roots?
2
When a=2 and b=2, what are the roots?
3
When a=-2 and b=3, what are the roots?
4
Compare the factors to the roots, what do you notice? (Play around with the applet until you notice.
– Louise Boyle

2.2.

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2.3.

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