1 / 7

Using the x-intercepts to Rewrite a Quadratic in Graphing Form

Using the x-intercepts to Rewrite a Quadratic in Graphing Form. Graphing Form for a Parabola. y = a(x – h) 2 + k ( h, k ): The Vertex The value of a. same. opposite. Different Forms For a Quadratic. Same “ a ”. Parent Graph: y = x 2

adriel
Download Presentation

Using the x-intercepts to Rewrite a Quadratic in Graphing Form

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. Using the x-intercepts to Rewrite a Quadratic in Graphing Form

  2. Graphing Form for a Parabola y = a(x – h)2 + k ( h, k ):The Vertex The value of a same opposite

  3. Different Forms For a Quadratic Same “a” Parent Graph: y = x2 Factored Form: y = __( __x ± __ )( __x ± __) Standard form: y = ax2 + bx + c Graphing Form: y = a(x – h)2 + k

  4. Justification that the “a” in Standard and Graphing Form are the same Same a!

  5. Standard Form to Graphing Form: Factoring Use an algebraic method to write in graphing form. 3. Average the x-intercepts for h 2 1. Find the value of a: 2. Find the x-intercepts 4. Substitute h into the rule for k 5. Substitute a, h, k into the graphing form WARNING: This method does not work if there are no x-intercepts

  6. Instead of Factoring, use the Quadratic Formula

  7. Standard Form to Graphing Form: Quadratic Formula Use an algebraic method to write in graphing form. 3. Average the x-intercepts for h 2 1. Find the value of a: 2. Find the x-intercepts 4. Substitute h into the rule for k 5. Substitute a, h, k into the graphing form WARNING: This method does not work if there are no x-intercepts

More Related