Quadratic Functions

1
Quadratic Functions Models

• How Gravity Has Made the Parabola an Important
  Graph

2
Quadratic Function

• Definition

3
Graphing Quadratic Equations

• Two ways
• Completing the Square
• Using vertex and axis of symmetry

4
Graphing Quadratic Equations

• Option 1
• Step One Complete the square in x
• to write the quadratic function in the
• form f(x) a(x h)2 k.
• Step Two Graph the function in
• stages using transformations.

5
Graphing Quadratic Functions

• Option Two
• Determine the vertex,
• Determine the axis of symmetry.
• Determine the y-intercept,
• Determine the x-intercepts by setting the
  equation equal to 0.

6
Graphing Quadratic Equations

• Determine an additional point by using the
  y-intercept and the axis of symmetry.
• Plot and draw the graph.

7
Finding the Maximum or Minimum Value Using the
Quadratic Function

• Motion of a Projectile.
• Geometry Measurement.
• Fencing.

8
Applications

• Suspension Bridge