1 / 11

Quadratics

Quadratics. Factoring. To solve a quadratic equation it must be equal to zero And the terms must be in order!! Use the HAVE – USE Chart sign in the problem signs in the (). Example. SOLVE x 2 – 2x – 8 = 0 Have - and - use + - (x – 4)(x + 2) = 0

wylie
Download Presentation

Quadratics

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. Quadratics

  2. Factoring • To solve a quadratic equation it must be equal to zero • And the terms must be in order!! • Use the HAVE – USE Chart sign in the problem signs in the ()

  3. Example • SOLVE • x2 – 2x – 8 = 0 Have - and - use + - • (x – 4)(x + 2) = 0 Find the factors of 8 that subtract to give you 2 • (x – 4) = 0 (x + 2) = 0 Set each one equal to zero and solve • x = 4 x = -2

  4. Quadratic Formula If you aren’t comfortable factoring, use the quadratic formula

  5. Example • x2 – 2x – 8 = 0 • A = 1 B = - 2 C = -8

  6. Solving from the answers • If all else fails substitute the possible answers from the multiple choice answers and determine which set of answers makes the equation true.

  7. Translations

  8. General form y = a func(bx – c) + d impacts width impacts movement neg means +/- +/- it is inverted left/right up/down |a| < 1 wide |a| >1 narrow

  9. Example • Basic shape • y = x2 • Translated shape • y = 2(x-1)2 + 3 • y = 2(x-1)2 + 3 • y = 2(x-1)2 + 3 • y = 2(x-1)2 + 3

  10. Graph Recognition

  11. y = x y = x2 y = 1/x • y = x3 y = √x y = 1/x2 • y = log x y = ax

More Related