logging in or signing up Solving Quadratic Equations by Graphing rfantster Download Post to : URL : Related Presentations : Share Add to Flag Embed Email Send to Blogs and Networks Add to Channel Uploaded from authorPOINT lite Insert YouTube videos in PowerPont slides with aS Desktop Copy embed code: (To copy code, click on the text box) Embed: URL: Thumbnail: WordPress Embed Customize Embed The presentation is successfully added In Your Favorites. Views: 6609 Category: Education License: All Rights Reserved Like it (5) Dislike it (0) Added: March 31, 2008 This Presentation is Public Favorites: 4 Presentation Description No description available Comments Posting comment... By: Liel (19 month(s) ago) I really need this ppt. I can't download it. Saving..... Post Reply Close Saving..... Edit Comment Close By: rjohn (38 month(s) ago) can u send me this ppt to use in my class, i would really appreciate that. Saving..... Post Reply Close Saving..... Edit Comment Close By: moecool (42 month(s) ago) Hi lsn can u send it to me plz i need it to explain it to my students in the school since we dont have internet there Saving..... Post Reply Close Saving..... Edit Comment Close By: rfantster (50 month(s) ago) I do sophisticated animations for my math classes and a lot of these do not transfer / render as accurately as I would like. Saving..... Post Reply Close Saving..... Edit Comment Close Premium member Presentation Transcript Slide1: §6.2 Solving Quadratic Equations by Graphing 1) quadratic equation 2) root 3) zero Solve quadratic equations by graphing. Estimate solutions of quadratic equations by graphing.Slide2: §6.2 Solving Quadratic Equations by Graphing When a quadratic function is set equal to a value, the result is a quadratic equation. The solution of a quadratic equation are called the roots of the equation. One method for finding the roots of a quadratic equation is to find the zeros of the related quadratic function. The zeros of the function are the x-intercepts of its graph. These are the solutions of the related equation because f(x) = 0 at those points. The zeros of the function graphed at the right are -1 and 2. Slide3: §6.2 Solving Quadratic Equations by Graphing Slide4: §6.2 Solving Quadratic Equations by Graphing Two Real Solutions Axis of symmetry: Note: The parabola opens up and the vertex is below the x-axis. Therefore, the parabola must cross the x-axis at two distinct points. Solutions:Slide5: §6.2 Solving Quadratic Equations by Graphing One Real Solution Axis of symmetry: Note: The parabola opens up and the vertex is on the x-axis. Therefore, the parabola only touches the x-axis at the vertex (1 point). Solution:Slide6: §6.2 Solving Quadratic Equations by Graphing No Real Solution Axis of symmetry: Note: The parabola opens down and the vertex is below the x-axis. Therefore, the parabola never crosses the x-axis. Solution: No REAL solution.Slide7: §6.2 Solving Quadratic Equations by Graphing Estimate Roots (Solutions) Axis of symmetry: Solutions: andSlide8: §6.2 Solving Quadratic Equations by Graphing Number Theory Use a quadratic equation to find two real numbers that satisfy the situation, or show that no such number exists. Axis of symmetry: Solution: No REAL solution.Slide9: §6.2 Solving Quadratic Equations by Graphing Application of Physics A tennis ball is hit upward at a velocity of 48 feet per second. 3 secondsSlide10: §6.2 Solving Quadratic Equations by Graphing You do not have the permission to view this presentation. In order to view it, please contact the author of the presentation.
Solving Quadratic Equations by Graphing rfantster Download Post to : URL : Related Presentations : Share Add to Flag Embed Email Send to Blogs and Networks Add to Channel Uploaded from authorPOINT lite Insert YouTube videos in PowerPont slides with aS Desktop Copy embed code: (To copy code, click on the text box) Embed: URL: Thumbnail: WordPress Embed Customize Embed The presentation is successfully added In Your Favorites. Views: 6609 Category: Education License: All Rights Reserved Like it (5) Dislike it (0) Added: March 31, 2008 This Presentation is Public Favorites: 4 Presentation Description No description available Comments Posting comment... By: Liel (19 month(s) ago) I really need this ppt. I can't download it. Saving..... Post Reply Close Saving..... Edit Comment Close By: rjohn (38 month(s) ago) can u send me this ppt to use in my class, i would really appreciate that. Saving..... Post Reply Close Saving..... Edit Comment Close By: moecool (42 month(s) ago) Hi lsn can u send it to me plz i need it to explain it to my students in the school since we dont have internet there Saving..... Post Reply Close Saving..... Edit Comment Close By: rfantster (50 month(s) ago) I do sophisticated animations for my math classes and a lot of these do not transfer / render as accurately as I would like. Saving..... Post Reply Close Saving..... Edit Comment Close Premium member Presentation Transcript Slide1: §6.2 Solving Quadratic Equations by Graphing 1) quadratic equation 2) root 3) zero Solve quadratic equations by graphing. Estimate solutions of quadratic equations by graphing.Slide2: §6.2 Solving Quadratic Equations by Graphing When a quadratic function is set equal to a value, the result is a quadratic equation. The solution of a quadratic equation are called the roots of the equation. One method for finding the roots of a quadratic equation is to find the zeros of the related quadratic function. The zeros of the function are the x-intercepts of its graph. These are the solutions of the related equation because f(x) = 0 at those points. The zeros of the function graphed at the right are -1 and 2. Slide3: §6.2 Solving Quadratic Equations by Graphing Slide4: §6.2 Solving Quadratic Equations by Graphing Two Real Solutions Axis of symmetry: Note: The parabola opens up and the vertex is below the x-axis. Therefore, the parabola must cross the x-axis at two distinct points. Solutions:Slide5: §6.2 Solving Quadratic Equations by Graphing One Real Solution Axis of symmetry: Note: The parabola opens up and the vertex is on the x-axis. Therefore, the parabola only touches the x-axis at the vertex (1 point). Solution:Slide6: §6.2 Solving Quadratic Equations by Graphing No Real Solution Axis of symmetry: Note: The parabola opens down and the vertex is below the x-axis. Therefore, the parabola never crosses the x-axis. Solution: No REAL solution.Slide7: §6.2 Solving Quadratic Equations by Graphing Estimate Roots (Solutions) Axis of symmetry: Solutions: andSlide8: §6.2 Solving Quadratic Equations by Graphing Number Theory Use a quadratic equation to find two real numbers that satisfy the situation, or show that no such number exists. Axis of symmetry: Solution: No REAL solution.Slide9: §6.2 Solving Quadratic Equations by Graphing Application of Physics A tennis ball is hit upward at a velocity of 48 feet per second. 3 secondsSlide10: §6.2 Solving Quadratic Equations by Graphing