sec. 1.7 completing the square sec. 1.8 the quadratic...

15
Algebra II sec. 1.7 1.8 notes.notebook October 13, 2013 Tonight's Homework: Sec. 1.7 Completing the Square Page 54 #38, 39, 45, 49, 63 Sec. 1.8 The Quadratic Formula Page 62 #21, 43, 47, 68, 70

Upload: vantu

Post on 23-Mar-2018

217 views

Category:

Documents


3 download

TRANSCRIPT

Page 1: Sec. 1.7 Completing the Square Sec. 1.8 The Quadratic …amhs.ccsdschools.com/UserFiles/Servers/Server_2856713/File/Staff... · Vertex Form: f(x) = a ... y = -x2 — 8x + 17 in vertex

Algebra II sec. 1.7 ­ 1.8 notes.notebook October 13, 2013

Tonight's Homework:Sec. 1.7 Completing the Square

Page 54 #38, 39, 45, 49, 63

Sec. 1.8 The Quadratic FormulaPage 62 #21, 43, 47, 68, 70

Page 2: Sec. 1.7 Completing the Square Sec. 1.8 The Quadratic …amhs.ccsdschools.com/UserFiles/Servers/Server_2856713/File/Staff... · Vertex Form: f(x) = a ... y = -x2 — 8x + 17 in vertex

Algebra II sec. 1.7 ­ 1.8 notes.notebook October 13, 2013

Completing the Square is a process that allows you to write an expression of the form 

x2 + bx as the square of a binomial.

Take the square root of both sides

x2 ­ 6x + 13 = 0x2 ­ 6x = ­13x2 ­ 6x + 9 = ­13 + 9(x ­ 3)2 = ­4√(x ­ 3)2 = √-4x-3=±2ix=3±2i

Page 3: Sec. 1.7 Completing the Square Sec. 1.8 The Quadratic …amhs.ccsdschools.com/UserFiles/Servers/Server_2856713/File/Staff... · Vertex Form: f(x) = a ... y = -x2 — 8x + 17 in vertex

Algebra II sec. 1.7 ­ 1.8 notes.notebook October 13, 2013

Page 4: Sec. 1.7 Completing the Square Sec. 1.8 The Quadratic …amhs.ccsdschools.com/UserFiles/Servers/Server_2856713/File/Staff... · Vertex Form: f(x) = a ... y = -x2 — 8x + 17 in vertex

Algebra II sec. 1.7 ­ 1.8 notes.notebook October 13, 2013

Page 5: Sec. 1.7 Completing the Square Sec. 1.8 The Quadratic …amhs.ccsdschools.com/UserFiles/Servers/Server_2856713/File/Staff... · Vertex Form: f(x) = a ... y = -x2 — 8x + 17 in vertex

Algebra II sec. 1.7 ­ 1.8 notes.notebook October 13, 2013

Vertex Form: f(x) = a(x ­ h)2 + k

Page 6: Sec. 1.7 Completing the Square Sec. 1.8 The Quadratic …amhs.ccsdschools.com/UserFiles/Servers/Server_2856713/File/Staff... · Vertex Form: f(x) = a ... y = -x2 — 8x + 17 in vertex

Algebra II sec. 1.7 ­ 1.8 notes.notebook October 13, 2013

Page 7: Sec. 1.7 Completing the Square Sec. 1.8 The Quadratic …amhs.ccsdschools.com/UserFiles/Servers/Server_2856713/File/Staff... · Vertex Form: f(x) = a ... y = -x2 — 8x + 17 in vertex

Algebra II sec. 1.7 ­ 1.8 notes.notebook October 13, 2013

Solve by completing the square.

Page 8: Sec. 1.7 Completing the Square Sec. 1.8 The Quadratic …amhs.ccsdschools.com/UserFiles/Servers/Server_2856713/File/Staff... · Vertex Form: f(x) = a ... y = -x2 — 8x + 17 in vertex

Algebra II sec. 1.7 ­ 1.8 notes.notebook October 13, 2013

Page 9: Sec. 1.7 Completing the Square Sec. 1.8 The Quadratic …amhs.ccsdschools.com/UserFiles/Servers/Server_2856713/File/Staff... · Vertex Form: f(x) = a ... y = -x2 — 8x + 17 in vertex

Algebra II sec. 1.7 ­ 1.8 notes.notebook October 13, 2013

Page 10: Sec. 1.7 Completing the Square Sec. 1.8 The Quadratic …amhs.ccsdschools.com/UserFiles/Servers/Server_2856713/File/Staff... · Vertex Form: f(x) = a ... y = -x2 — 8x + 17 in vertex

Algebra II sec. 1.7 ­ 1.8 notes.notebook October 13, 2013

Page 11: Sec. 1.7 Completing the Square Sec. 1.8 The Quadratic …amhs.ccsdschools.com/UserFiles/Servers/Server_2856713/File/Staff... · Vertex Form: f(x) = a ... y = -x2 — 8x + 17 in vertex

Algebra II sec. 1.7 ­ 1.8 notes.notebook October 13, 2013

Page 12: Sec. 1.7 Completing the Square Sec. 1.8 The Quadratic …amhs.ccsdschools.com/UserFiles/Servers/Server_2856713/File/Staff... · Vertex Form: f(x) = a ... y = -x2 — 8x + 17 in vertex

Algebra II sec. 1.7 ­ 1.8 notes.notebook October 13, 2013

Page 13: Sec. 1.7 Completing the Square Sec. 1.8 The Quadratic …amhs.ccsdschools.com/UserFiles/Servers/Server_2856713/File/Staff... · Vertex Form: f(x) = a ... y = -x2 — 8x + 17 in vertex

Algebra II sec. 1.7 ­ 1.8 notes.notebook October 13, 2013

Page 14: Sec. 1.7 Completing the Square Sec. 1.8 The Quadratic …amhs.ccsdschools.com/UserFiles/Servers/Server_2856713/File/Staff... · Vertex Form: f(x) = a ... y = -x2 — 8x + 17 in vertex

Algebra II sec. 1.7 ­ 1.8 notes.notebook October 13, 2013

Page 15: Sec. 1.7 Completing the Square Sec. 1.8 The Quadratic …amhs.ccsdschools.com/UserFiles/Servers/Server_2856713/File/Staff... · Vertex Form: f(x) = a ... y = -x2 — 8x + 17 in vertex

Algebra II sec. 1.7 ­ 1.8 notes.notebook October 13, 2013

Square Roots