Quadratic Functions and Their Properties - PowerPoint PPT Presentation

1 / 24
About This Presentation
Title:

Quadratic Functions and Their Properties

Description:

... the square adjusts a quadratic equation so that it becomes a ... The following are example of quadratic equations that are perfect squares. Graph the function ... – PowerPoint PPT presentation

Number of Views:2200
Avg rating:3.0/5.0
Slides: 25
Provided by: haid159
Category:

less

Transcript and Presenter's Notes

Title: Quadratic Functions and Their Properties


1
Section 3.3 Quadratic Functions and Their
Properties
2
Examples
3
(No Transcript)
4
(No Transcript)
5
Parabolas
6
(No Transcript)
7
  • For the following quadratic functions, find x and
    y-intercepts, axis of symmetry, vertex, and
    finally graph the equation. State the domain and
    range.
  • 1.
  • 2.
  • 3.
  • 4.

8
  • If you cant factor a quadratic equation, then
    you will need the
  • ____________________________
  • to find the ______________.
  • The formula is
  • ________________________________

Quadratic formula
x-intercepts
9
(No Transcript)
10
(No Transcript)
11
  • For the following quadratic functions, find x and
    y-intercepts, axis of symmetry, vertex, and
    finally graph the equation. State the domain and
    range.
  • 5.
  • 6.

12
  • We have just looked at quadratic functions in the
    form . Quadratic function
    can also be in the form
  • ______________________________
  • where (h, k) is the vertex.

13
Graphing a quadratic function
Vertically stretched
Vertically compressed
14
  • Example For the following quadratic function,
    find x and y-intercepts, axis of symmetry,
    vertex, and finally graph the equation. Also,
    state the domain and range.

15
Example Find the equation of the following
parabola
16
  • Note This function is NOT is the form
  • From page A47 of class text.
  • Completing the square adjusts a quadratic
    equation so that it becomes a perfect square.
  • The following are example of quadratic equations
    that are perfect squares.

17
To complete the square on we
add and get the result
Start Add
Result
18
  • Now, we will continue with the example Graph
  • by transformations.

19
  • Lets complete the square on
  • if f(x) 0 to find the x-intercepts.

20
(No Transcript)
21
(No Transcript)
22
(No Transcript)
23
(No Transcript)
24
(No Transcript)
Write a Comment
User Comments (0)
About PowerShow.com