html5-img
1 / 12

Chapter 10 Sec 1

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

yestin
Télécharger la présentation

Chapter 10 Sec 1

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. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. Chapter 10 Sec 1 Graphing Quadratic Functions

  2. 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.

  3. 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..

  4. Graph of Parabola Similar to Pg 526

  5. Max and Min Values

  6. 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

  7. 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

  8. 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

  9. Graph f(x) = x2 + 8x + 9 y-intercept (0, 9) x = -4 AOS x = -4

  10. 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

  11. 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.

  12. Daily Assignment • Chapter 10 Section 1 • Study Guide (SG) • Pg 131 - 132 All

More Related