1 / 8

Quadratic Equations Warm-Up Exercises and Conversions Guide

This guide provides warm-up exercises for multiplying quadratic equations and converting from Vertex Form to Standard Form. It includes step-by-step instructions, examples, and practice problems.

daquan-kirkland
Télécharger la présentation

Quadratic Equations Warm-Up Exercises and Conversions Guide

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. WARM-UP MULTIPLY: • (x +2)(x + 2) • (x - 3)(x – 3) • 3. (x + 6)(x + 6) • 4. (x – 5)(x – 5) • 5. (x + 4)2

  2. WARM-UP MULTIPLY: • (x +2)(x + 2) = x2 + 4x + 4 • (x - 3)(x – 3) = x2 – 6x + 9 • 3. (x + 6)(x + 6) = x2 + 12x + 36 • 4. (x – 5)(x – 5) = x2 – 10x + 25 • 5. (x + 4)2 = x2 + 8x + 16

  3. Converting from Vertex Form to Standard Form • Square the binomial. • Distribute. • 3. Combine like terms. • 4. Simplify.

  4. Converting from Vertex Form to Standard Form • Ex: y=3(x-1)2+8 =3(x-1)(x-1)+8 =3(x2-x-x+1)+8 =3(x2-2x+1)+8 =3x2-6x+3+8 y=3x2-6x+11

  5. Converting from Vertex Form to Standard Form • Convert y = 3(x + 1)2 – 5 • Convert y = 2(x - 4)2 - 1 Standard form: y = 3x2 + 6x - 2 Standard form: y = 2x2 – 16x = 31

  6. Converting to Standard Form from Vertex Form • Use to find the vertex, (h, k). • Use the a from the standard form equation. • 3. Substitute a, h, and k into y = a (x-h)2 + k.

  7. Converting from Standard Form to Vertex Form • Ex: y= -3x2 – 12x - 13 y = -3(-2)2 – 12(-2) – 13 y = -12 + 24 -13 y = -1 Vertex (-2, -1) a = -3 y = a(x – h)2 + k y = -3(x – (-2))2 -1 y = -3(x + 2)2 – 1

  8. Converting from Standard Form to Vertex Form • Convert y = 2x2 – 4x + 5 • Convert y = -x2 – 2x + 1 Vertex = (1, 3) a = 2 Vertex form: y = 2(x-1)2 + 3 Vertex = (-1, 2) a = -1 Vertex form: y = -(x+1)2 + 2

More Related