chapter 10 sec 1
Download
Skip this Video
Download Presentation
Chapter 10 Sec 1

Loading in 2 Seconds...

play fullscreen
1 / 12

Chapter 10 Sec 1 - PowerPoint PPT Presentation


  • 97 Views
  • Uploaded on

Chapter 10 Sec 1. Graphing Quadratic Functions. The seven steps to graphing. f ( x ) = ax 2 + bx + c. Find a = , b = , c = . Find y intercept = (0, c ). Find Axis of Symmetry Find Vertex ( AOS , __ ) Plug AOS in function to find y. Look at a is it (+) min or (-) max

loader
I am the owner, or an agent authorized to act on behalf of the owner, of the copyrighted work described.
capcha
Download Presentation

PowerPoint Slideshow about ' Chapter 10 Sec 1' - yestin


An Image/Link below is provided (as is) to download presentation

Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author.While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server.


- - - - - - - - - - - - - - - - - - - - - - - - - - E N D - - - - - - - - - - - - - - - - - - - - - - - - - -
Presentation Transcript
chapter 10 sec 1

Chapter 10 Sec 1

Graphing Quadratic Functions

the seven steps to graphing f x ax 2 bx c
The seven steps to graphing.f(x) = ax2 +bx + c
  • Find a = , b = , c = .
  • Find y intercept = (0, c).
  • Find Axis of Symmetry
  • Find Vertex ( AOS , __ )
    • Plug AOS in function to find y.
  • Look at ais it (+) min or (-) max
  • Find Value Max/Min (y of vertex).
  • Make Table of Values and Plot put vertex in the center of the table and graph.
quadratic function
Quadratic Function

A quadratic function is described by an equation of the following form.

Linear term

Constant term

Quadratic term

The graph of any quadratic function is called a parabola..

graph of parabola
Graph of Parabola

Similar to Pg 526

axis of symmetry and y intercept
Axis of Symmetry and y - intercept

Find the y-intercept, the equation of the axis of symmetry, the vertex , Max or min and Value, then graph. f(x) = x2 + 9 + 8x

Step 1: Arrange terms. Then identify a, b, and c

f(x) = x2 + 9 + 8x

f(x) = x2 + 8x + 9

So a = 1, b = 8, and c = 9

Step 2: Find the y-intercept, (0, c)

The y-intercept is (0, 9).

Step 3: Find the Axis of Symmetry (AOS)

AOS = -4

vertex and graph
Vertex and Graph

Find the y-intercept, the equation of the axis of symmetry, the vertex , Max or min and Value, then graph. f(x) = x2 + 8x + 9

Step 4: Find the coordinates of the vertex. (AOS, ___).

Plug AOS in original function to find y - coordinate

f(-4) = x2 + 8x + 9

= (-4)2 + 8(-4) + 9 = 16 - 32 + 9 = -7

Step 5: Max or Min a = 1, positive so Minimum

Step 6: Value of Max/Min:

(-4, -7)

vertex

–7

Min: –7

vertex and graph1
Vertex and Graph

Find the y-intercept, the equation of the axis of symmetry, the vertex , Max or min and Value, then graph. f(x) = x2 + 8x + 9

(-4, -7)

vertex

vertex

graph f x x 2 8x 9
Graph f(x) = x2 + 8x + 9

y-intercept

(0, 9)

x = -4

AOS

x = -4

find max or min
Find Max or Min

To find Max/Min without graphing do Steps 1 – 6.

Step 1. a = 1, b = – 4, and c = 9

Step 2. y–intercept (0, 9)

Step 3.

Step 4. Find Vertex (2, __)

f(2) = (2)2 - 4(2) + 9 = 4 - 8 + 9 = 5

Step 5. Max/Min? a = 1. a is positive minimum value.

Step 6. Value of Max/Min. The Vertex is (2, 5) So the

Min value is 5.

Consider the function f(x) = x2 - 4x + 9

5

the seven steps to graphing f x ax 2 bx c1
The seven steps to graphing.f(x) = ax2 +bx + c
  • Find a = , b = , c = .
  • Find y intercept = (0, c).
  • Find Axis of Symmetry
  • Find Vertex ( AOS , __ )
    • Plug AOS in function to find y.
  • Look at a is it (+)min or (-)max
  • Find Value Max/Min (y of vertex).
  • Make Table of Values and Plot put vertex in the center of the table and graph.
daily assignment
Daily Assignment
  • Chapter 10 Section 1
    • Study Guide (SG)
      • Pg 131 - 132 All
ad