1 / 17

Quadratic Functions and Equations

Chapter 9 . Quadratic Functions and Equations. Pg. 546 – 552 Obj : Learn how to graph quadratic functions. Content Standards: F.IF.7.a, A.CED.2, F.IF.4, F.IF.5, and F.BF.3. 9.1 Quadratic Graphs and Their Properties. Quadratic Function – a function that has a degree of two

ulric
Télécharger la présentation

Quadratic Functions and Equations

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 9 Quadratic Functions and Equations

  2. Pg. 546 – 552 Obj: Learn how to graph quadratic functions. Content Standards: F.IF.7.a, A.CED.2, F.IF.4, F.IF.5, and F.BF.3 9.1 Quadratic Graphs and Their Properties

  3. Quadratic Function – a function that has a degree of two Standard form of a Quadratic Function – Quadratic Parent Function – the simplest quadratic function 9.1 Quadratic Graphs and Their Properties

  4. Parabola – the graph of a quadratic function that is a U shaped curve Axis of symmetry – the line that divides the parabola into two matching halves – x=-b/2a Vertex – the highest or lowest point of a parabola Minimum – the lowest point – occurs if a>0 Maximum – the highest point – occurs if a<0 9.1 Quadratic Graphs and Their Properties

  5. Graphing a Quadratic Function • Find the axis of symmetry – x=-b/2a • Substitute the value of x into the original function and solve for y – this is the vertex • Choose two x-values on one side of the axis of symmetry and substitute those values into the original function. Solve for y. • The previous step results in two points. Graph these points and the corresponding points on the other side of the axis of symmetry. • Draw a parabola containing all of the points. 9.1 Quadratic Graphs and Their Properties

  6. Pg. 553 – 558 Obj: Learn how to graph quadratic functions. Content Standards: F.IF.7.a, A.CED.2, F.IF.4, F.IF.8.a, F.IF.9, F.BF.3 9.2 quadratic Functions

  7. Pg. 561 – 566 Obj: Learn how to solve quadratic equations by graphing and using square roots. Content Standards: A.REI.4.b, N.Q.2, A.APR.3, A.CED.1, and A.CED.4 9.3 Solving Quadratic Equations

  8. Roots of the Equation or Zeros of the Function – the x-intercepts of the graph 9.3 Solving Quadratic Equations

  9. Pg. 568 – 572 Obj: Learn how to solve quadratic equations by factoring. Content Standards: A.REI.4.b, A.SSE.3.a, A.CED.1, and F.IF.8.a 9.4 Factoring to Solve Quadratic Equations

  10. Zero Product Property – If ab = 0, then a=0 or b=0 9.4 Factoring to Solve Quadratic Equations

  11. Pg. 576 – 581 Obj: Learn how to solve quadratic equations by completing the square. Content Standards: A.REI.4.a, N.Q.3, A.SSE.1.a, A.SSE.1.b, A.SSE.3.b, A.CED.1, A.REI.1, A.REI.4.b, and F.IF.8.a 9.5 Completing the Square

  12. Pg. 582-588 Obj: Learn how to solve quadratic equations using the quadratic formula and find the number of solutions of a quadratic equation. Content Standards: A.REI.4.a, N.Q.3, A.CED.1, and A.REI.4.b 9.6 The Quadratic Formula and the Discriminant

  13. Quadratic Formula 9.6 The Quadratic Formula and the Discriminant

  14. Discriminant • Positive = two real solutions • Zero = one real solution • Negative = no real solutions 9.6 The Quadratic Formula and the Discriminant

  15. Pg. 589 – 594 Obj: Learn how to choose a linear, quadratic, or exponential model for data. Content Standards: F.LE.1.a, F.IF.4, F.LE.2, F.LE.3, and S.ID.6.a 9.7 Linear, Quadratic, and Exponential Models

  16. Pg. 597 – 601 Obj: Learn how to solve systems of linear and quadratic equations. Content Standards: A.REI.7, A.CED.3, and A.REI.11 9.8 System of Linear and Quadratic Equations

  17. 3 Methods • Graphing • Elimination • Substitution 9.8 System of Linear and Quadratic Equations

More Related