1 / 10

9.1 Exploring Quadratic Graphs

9.1 Exploring Quadratic Graphs. Objective: SWBAT graph quadratic functions and find roots or x -intercepts. Mini Quiz 22. 2. Overview. Quadratic functions y = ax 2 + bx + c (no b for today) Identifying maximum and minimum Comparing widths of parabolas Graphing the parabola

dolan-wolfe
Download Presentation

9.1 Exploring Quadratic Graphs

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. 9.1 Exploring Quadratic Graphs Objective: SWBAT graph quadratic functions and find roots or x-intercepts.

  2. Mini Quiz 22 2.

  3. Overview Quadratic functions y = ax2 + bx + c (no b for today) • Identifying maximum and minimum • Comparing widths of parabolas • Graphing the parabola • Finding the vertex

  4. Quadratic Function Standard Form: Parabola: U-shaped graph for quadratic function What is a, b, and c for the following quadratic functions? 1. y = 2x2 + 3x – 4 2. y = x2 – x + 9 3. y = -x2 – 7 Leading Coefficient Vertex- highest or lowest point on the parabola

  5. Parabola – Quadratic Functions Important “Points” x-intercepts, roots, zeros Does the graph have a maximum or a minimum? vertex (on the axis of symmetry x = #)

  6. Vertex, Axis of Symmetry, andMax or Min 1. Vertex (0, 0); x = 0; Min 2. Vertex (-2, 4); x = -2; Max 3. Vertex (4, 3); x = 4; Max 4. Vertex (1, -2); x= 1; Min Identify the vertex and axis of symmetry. Tell whether it is a minimum or maximum.

  7. Who’s the widest of them all? Widest: The “smaller” the “a” is, the wider the graph

  8. Graphing the Parabola Steps: 1. Make a T-chart 2. Find the vertex: (axis of symmetry) 3. Graph 2 points to each side of the vertex 4. Draw the parabola 5. Write the x-intercepts x = -2, x = 0 Graph: y = x2 + 2x 1 3 0 0 -1 -1 -2 0 -3 3

  9. Graph and Write the x-intercepts x = 0 x = 0 x = No Solution x = -2 x = 2

  10. Wrap Up Quadratic functions y = ax2 + bx + c (no b for today) • Identifying maximum and minimum • Comparing widths of parabolas • Graphing the parabola • Find vertex: • Pick 2 points on each side of the vertex • Graph the parabola HW: P. 429 #1-29 EOO DLUQ: What is the formula for the axis of symmetry and the vertex for the x-coordinate?

More Related