SlideShare a Scribd company logo
1 of 16
10.3 Hyperbolas
                           Day Two




Romans 6:4 "Therefore we are buried with him by baptism
into death: that like as Christ was raised up from the dead by
the glory of the Father, even so we also should walk in
newness of life."
1. Find the equation of the hyperbola in standard form
   with vertices of ( ± 2, 0 ) and foci ( ± 3, 0 ) .
1. Find the equation of the hyperbola in standard form
   with vertices of ( ± 2, 0 ) and foci ( ± 3, 0 ) .

                           2     2       2
            a=2    c=3    c = a +b
                                     2
                          9 = 4+b
                           2
                          b =5
1. Find the equation of the hyperbola in standard form
   with vertices of ( ± 2, 0 ) and foci ( ± 3, 0 ) .

                             2      2       2
            a=2    c=3       c = a +b
                                        2
                             9 = 4+b
                              2
                             b =5

                     2   2
                    x  y
                      − =1
                    4 5
2. Find the equation and the foci of the hyperbola with
   vertices ( 0, ± 4 ) and asymptotes y = ± 4x .
2. Find the equation and the foci of the hyperbola with
   vertices ( 0, ± 4 ) and asymptotes y = ± 4x .
                   a
          a = 4 and = 4 ∴b = 1
                   b
2. Find the equation and the foci of the hyperbola with
   vertices ( 0, ± 4 ) and asymptotes y = ± 4x .
                   a
          a = 4 and = 4 ∴b = 1
                   b
             2   2     2
            c = a +b
             2
            c = 17
            c = 17 ≈ 4.1
2. Find the equation and the foci of the hyperbola with
   vertices ( 0, ± 4 ) and asymptotes y = ± 4x .
                   a
          a = 4 and = 4 ∴b = 1
                   b
             2      2     2
            c = a +b
             2
            c = 17
            c = 17 ≈ 4.1
                              2
                      y     2
           Equation :    − x =1
                      16

                 foci :   ( 0, ±   17   )
Turn to page 767 and read the paragraph
about the reflective properties of conics.
      (At the bottom of the page)
Parabolic Reflection Animation ... 2D
Parabolic Reflection Animation ... 3D
Elliptic Reflection Animation ... 2D
Elliptic Reflection Animation ... 3D
Hyperbolic Reflection Animation ... 2D
Hyperbolic Reflection Animation ... 3D
HW #7

“Courage is resistance to fear, mastery of fear - not
absence of fear.”                Mark Twain

More Related Content

What's hot

Unit 9 lesson 4 area of trap & rhombus
Unit 9 lesson 4 area of trap & rhombusUnit 9 lesson 4 area of trap & rhombus
Unit 9 lesson 4 area of trap & rhombus
mlabuski
 
Day 3 examples u2f13
Day 3 examples u2f13Day 3 examples u2f13
Day 3 examples u2f13
jchartiersjsd
 
1 2 and 1-3 review warmup
1 2 and 1-3 review warmup1 2 and 1-3 review warmup
1 2 and 1-3 review warmup
heidishs
 
Geo March 27, 2009
Geo March 27, 2009Geo March 27, 2009
Geo March 27, 2009
Mr. Smith
 
5HBC2012 Conic Worksheet
5HBC2012 Conic Worksheet5HBC2012 Conic Worksheet
5HBC2012 Conic Worksheet
A Jorge Garcia
 
Math tcwag 6, p 248, no 26 27
Math  tcwag 6, p 248, no 26 27Math  tcwag 6, p 248, no 26 27
Math tcwag 6, p 248, no 26 27
potassium2012
 
Sulpcegu5e ppt 9_1
Sulpcegu5e ppt 9_1Sulpcegu5e ppt 9_1
Sulpcegu5e ppt 9_1
silvia
 

What's hot (20)

Unit 9 lesson 4 area of trap & rhombus
Unit 9 lesson 4 area of trap & rhombusUnit 9 lesson 4 area of trap & rhombus
Unit 9 lesson 4 area of trap & rhombus
 
Day 3 examples u2f13
Day 3 examples u2f13Day 3 examples u2f13
Day 3 examples u2f13
 
New day 3 examples
New day 3 examplesNew day 3 examples
New day 3 examples
 
1 2 and 1-3 review warmup
1 2 and 1-3 review warmup1 2 and 1-3 review warmup
1 2 and 1-3 review warmup
 
Geo March 27, 2009
Geo March 27, 2009Geo March 27, 2009
Geo March 27, 2009
 
Geometry/Notes 11.2
Geometry/Notes 11.2Geometry/Notes 11.2
Geometry/Notes 11.2
 
Partial Fractions Linear Term
Partial Fractions Linear TermPartial Fractions Linear Term
Partial Fractions Linear Term
 
Week 8 - Trigonometry
Week 8 - TrigonometryWeek 8 - Trigonometry
Week 8 - Trigonometry
 
Renju
RenjuRenju
Renju
 
Prove it!
Prove it!Prove it!
Prove it!
 
5HBC2012 Conic Worksheet
5HBC2012 Conic Worksheet5HBC2012 Conic Worksheet
5HBC2012 Conic Worksheet
 
Producto notable tres cuatro cubo de un binomio
Producto notable tres cuatro cubo de un binomioProducto notable tres cuatro cubo de un binomio
Producto notable tres cuatro cubo de un binomio
 
Math tcwag 6, p 248, no 26 27
Math  tcwag 6, p 248, no 26 27Math  tcwag 6, p 248, no 26 27
Math tcwag 6, p 248, no 26 27
 
Sulpcegu5e ppt 9_1
Sulpcegu5e ppt 9_1Sulpcegu5e ppt 9_1
Sulpcegu5e ppt 9_1
 
Pre-Cal 40S Slides May 10, 2007
Pre-Cal 40S Slides May 10, 2007Pre-Cal 40S Slides May 10, 2007
Pre-Cal 40S Slides May 10, 2007
 
Partial Fractions Linear Term To A Power
Partial Fractions Linear Term To A PowerPartial Fractions Linear Term To A Power
Partial Fractions Linear Term To A Power
 
2D Geometry.13/ Theory of Ellipse
2D Geometry.13/ Theory of Ellipse2D Geometry.13/ Theory of Ellipse
2D Geometry.13/ Theory of Ellipse
 
Lect2 230708501
Lect2 230708501Lect2 230708501
Lect2 230708501
 
Cônicas 1
Cônicas 1Cônicas 1
Cônicas 1
 
Tot d isomorphism1
Tot d isomorphism1Tot d isomorphism1
Tot d isomorphism1
 

Viewers also liked (8)

Paz
Paz Paz
Paz
 
1103 ch 11 day 3
1103 ch 11 day 31103 ch 11 day 3
1103 ch 11 day 3
 
071208 12 Ewd Sp
071208 12 Ewd Sp071208 12 Ewd Sp
071208 12 Ewd Sp
 
1203 ch 12 day 3
1203 ch 12 day 31203 ch 12 day 3
1203 ch 12 day 3
 
1204 ch 12 day 4
1204 ch 12 day 41204 ch 12 day 4
1204 ch 12 day 4
 
0101 ch 1 day 1
0101 ch 1 day 10101 ch 1 day 1
0101 ch 1 day 1
 
1201 ch 12 day 1
1201 ch 12 day 11201 ch 12 day 1
1201 ch 12 day 1
 
1202 ch 12 day 2
1202 ch 12 day 21202 ch 12 day 2
1202 ch 12 day 2
 

Similar to 1007 ch 10 day 7

(6) Hyperbola (Theory).Module-3pdf
(6) Hyperbola (Theory).Module-3pdf(6) Hyperbola (Theory).Module-3pdf
(6) Hyperbola (Theory).Module-3pdf
RajuSingh806014
 
11 x1 t10 07 sum & product of roots (2012)
11 x1 t10 07 sum & product of roots (2012)11 x1 t10 07 sum & product of roots (2012)
11 x1 t10 07 sum & product of roots (2012)
Nigel Simmons
 
11X1 T11 07 sum & product of roots
11X1 T11 07 sum & product of roots11X1 T11 07 sum & product of roots
11X1 T11 07 sum & product of roots
Nigel Simmons
 
11X1 T10 07 sum & product of roots (2011)
11X1 T10 07 sum & product of roots (2011)11X1 T10 07 sum & product of roots (2011)
11X1 T10 07 sum & product of roots (2011)
Nigel Simmons
 
11X1 T10 07 sum and product of roots (2010)
11X1 T10 07 sum and product of roots (2010)11X1 T10 07 sum and product of roots (2010)
11X1 T10 07 sum and product of roots (2010)
Nigel Simmons
 
6 binomial theorem
6 binomial theorem6 binomial theorem
6 binomial theorem
math123c
 
Application of the integral
Application of the integral Application of the integral
Application of the integral
Abhishek Das
 

Similar to 1007 ch 10 day 7 (20)

1004 ch 10 day 4
1004 ch 10 day 41004 ch 10 day 4
1004 ch 10 day 4
 
34 the ellipse
34 the ellipse34 the ellipse
34 the ellipse
 
Precalculus 4 4 graphs pf sine and cosine v2
Precalculus 4 4 graphs pf sine and cosine v2Precalculus 4 4 graphs pf sine and cosine v2
Precalculus 4 4 graphs pf sine and cosine v2
 
Elementary triangle goemetry
Elementary triangle goemetryElementary triangle goemetry
Elementary triangle goemetry
 
Unit 13.5
Unit 13.5Unit 13.5
Unit 13.5
 
1006 ch 10 day 6
1006 ch 10 day 61006 ch 10 day 6
1006 ch 10 day 6
 
0207 ch 2 day 7
0207 ch 2 day 70207 ch 2 day 7
0207 ch 2 day 7
 
Pre-Cal 40S May 26, 2009
Pre-Cal 40S May 26, 2009Pre-Cal 40S May 26, 2009
Pre-Cal 40S May 26, 2009
 
(6) Hyperbola (Theory).Module-3pdf
(6) Hyperbola (Theory).Module-3pdf(6) Hyperbola (Theory).Module-3pdf
(6) Hyperbola (Theory).Module-3pdf
 
11 x1 t10 07 sum & product of roots (2012)
11 x1 t10 07 sum & product of roots (2012)11 x1 t10 07 sum & product of roots (2012)
11 x1 t10 07 sum & product of roots (2012)
 
Conic sections
Conic sectionsConic sections
Conic sections
 
0803 ch 8 day 3
0803 ch 8 day 30803 ch 8 day 3
0803 ch 8 day 3
 
11X1 T11 07 sum & product of roots
11X1 T11 07 sum & product of roots11X1 T11 07 sum & product of roots
11X1 T11 07 sum & product of roots
 
11X1 T10 07 sum & product of roots (2011)
11X1 T10 07 sum & product of roots (2011)11X1 T10 07 sum & product of roots (2011)
11X1 T10 07 sum & product of roots (2011)
 
11X1 T10 07 sum and product of roots (2010)
11X1 T10 07 sum and product of roots (2010)11X1 T10 07 sum and product of roots (2010)
11X1 T10 07 sum and product of roots (2010)
 
6 binomial theorem
6 binomial theorem6 binomial theorem
6 binomial theorem
 
C08s3
C08s3C08s3
C08s3
 
1114 ch 11 day 14
1114 ch 11 day 141114 ch 11 day 14
1114 ch 11 day 14
 
Application of the integral
Application of the integral Application of the integral
Application of the integral
 
Roots of polynomials
Roots of polynomialsRoots of polynomials
Roots of polynomials
 

More from festivalelmo

More from festivalelmo (20)

1104 ch 11 day 4
1104 ch 11 day 41104 ch 11 day 4
1104 ch 11 day 4
 
1113 ch 11 day 13
1113 ch 11 day 131113 ch 11 day 13
1113 ch 11 day 13
 
1112 ch 11 day 12
1112 ch 11 day 121112 ch 11 day 12
1112 ch 11 day 12
 
1110 ch 11 day 10
1110 ch 11 day 101110 ch 11 day 10
1110 ch 11 day 10
 
1109 ch 11 day 9
1109 ch 11 day 91109 ch 11 day 9
1109 ch 11 day 9
 
1108 ch 11 day 8
1108 ch 11 day 81108 ch 11 day 8
1108 ch 11 day 8
 
1107 ch 11 day 7
1107 ch 11 day 71107 ch 11 day 7
1107 ch 11 day 7
 
1106 ch 11 day 6
1106 ch 11 day 61106 ch 11 day 6
1106 ch 11 day 6
 
1105 ch 11 day 5
1105 ch 11 day 51105 ch 11 day 5
1105 ch 11 day 5
 
1115 ch 11 day 15
1115 ch 11 day 151115 ch 11 day 15
1115 ch 11 day 15
 
1005 ch 10 day 5
1005 ch 10 day 51005 ch 10 day 5
1005 ch 10 day 5
 
1003 ch 10 day 3
1003 ch 10 day 31003 ch 10 day 3
1003 ch 10 day 3
 
1002 ch 10 day 2
1002 ch 10 day 21002 ch 10 day 2
1002 ch 10 day 2
 
1001 ch 10 day 1
1001 ch 10 day 11001 ch 10 day 1
1001 ch 10 day 1
 
1008 ch 10 day 8
1008 ch 10 day 81008 ch 10 day 8
1008 ch 10 day 8
 
09 e01 ch09e day 1
09 e01 ch09e  day 109 e01 ch09e  day 1
09 e01 ch09e day 1
 
09 e02 ch09e day 2
09 e02 ch09e  day 209 e02 ch09e  day 2
09 e02 ch09e day 2
 
0912 ch 9 day 12
0912 ch 9 day 120912 ch 9 day 12
0912 ch 9 day 12
 
0911 ch 9 day 11
0911 ch 9 day 110911 ch 9 day 11
0911 ch 9 day 11
 
0909 ch 9 day 9
0909 ch 9 day 90909 ch 9 day 9
0909 ch 9 day 9
 

Recently uploaded

Gardella_Mateo_IntellectualProperty.pdf.
Gardella_Mateo_IntellectualProperty.pdf.Gardella_Mateo_IntellectualProperty.pdf.
Gardella_Mateo_IntellectualProperty.pdf.
MateoGardella
 
Beyond the EU: DORA and NIS 2 Directive's Global Impact
Beyond the EU: DORA and NIS 2 Directive's Global ImpactBeyond the EU: DORA and NIS 2 Directive's Global Impact
Beyond the EU: DORA and NIS 2 Directive's Global Impact
PECB
 
1029 - Danh muc Sach Giao Khoa 10 . pdf
1029 -  Danh muc Sach Giao Khoa 10 . pdf1029 -  Danh muc Sach Giao Khoa 10 . pdf
1029 - Danh muc Sach Giao Khoa 10 . pdf
QucHHunhnh
 
An Overview of Mutual Funds Bcom Project.pdf
An Overview of Mutual Funds Bcom Project.pdfAn Overview of Mutual Funds Bcom Project.pdf
An Overview of Mutual Funds Bcom Project.pdf
SanaAli374401
 

Recently uploaded (20)

Mattingly "AI & Prompt Design: Structured Data, Assistants, & RAG"
Mattingly "AI & Prompt Design: Structured Data, Assistants, & RAG"Mattingly "AI & Prompt Design: Structured Data, Assistants, & RAG"
Mattingly "AI & Prompt Design: Structured Data, Assistants, & RAG"
 
Gardella_Mateo_IntellectualProperty.pdf.
Gardella_Mateo_IntellectualProperty.pdf.Gardella_Mateo_IntellectualProperty.pdf.
Gardella_Mateo_IntellectualProperty.pdf.
 
How to Give a Domain for a Field in Odoo 17
How to Give a Domain for a Field in Odoo 17How to Give a Domain for a Field in Odoo 17
How to Give a Domain for a Field in Odoo 17
 
INDIA QUIZ 2024 RLAC DELHI UNIVERSITY.pptx
INDIA QUIZ 2024 RLAC DELHI UNIVERSITY.pptxINDIA QUIZ 2024 RLAC DELHI UNIVERSITY.pptx
INDIA QUIZ 2024 RLAC DELHI UNIVERSITY.pptx
 
fourth grading exam for kindergarten in writing
fourth grading exam for kindergarten in writingfourth grading exam for kindergarten in writing
fourth grading exam for kindergarten in writing
 
Beyond the EU: DORA and NIS 2 Directive's Global Impact
Beyond the EU: DORA and NIS 2 Directive's Global ImpactBeyond the EU: DORA and NIS 2 Directive's Global Impact
Beyond the EU: DORA and NIS 2 Directive's Global Impact
 
1029 - Danh muc Sach Giao Khoa 10 . pdf
1029 -  Danh muc Sach Giao Khoa 10 . pdf1029 -  Danh muc Sach Giao Khoa 10 . pdf
1029 - Danh muc Sach Giao Khoa 10 . pdf
 
Paris 2024 Olympic Geographies - an activity
Paris 2024 Olympic Geographies - an activityParis 2024 Olympic Geographies - an activity
Paris 2024 Olympic Geographies - an activity
 
This PowerPoint helps students to consider the concept of infinity.
This PowerPoint helps students to consider the concept of infinity.This PowerPoint helps students to consider the concept of infinity.
This PowerPoint helps students to consider the concept of infinity.
 
Unit-IV- Pharma. Marketing Channels.pptx
Unit-IV- Pharma. Marketing Channels.pptxUnit-IV- Pharma. Marketing Channels.pptx
Unit-IV- Pharma. Marketing Channels.pptx
 
Basic Civil Engineering first year Notes- Chapter 4 Building.pptx
Basic Civil Engineering first year Notes- Chapter 4 Building.pptxBasic Civil Engineering first year Notes- Chapter 4 Building.pptx
Basic Civil Engineering first year Notes- Chapter 4 Building.pptx
 
Unit-IV; Professional Sales Representative (PSR).pptx
Unit-IV; Professional Sales Representative (PSR).pptxUnit-IV; Professional Sales Representative (PSR).pptx
Unit-IV; Professional Sales Representative (PSR).pptx
 
microwave assisted reaction. General introduction
microwave assisted reaction. General introductionmicrowave assisted reaction. General introduction
microwave assisted reaction. General introduction
 
Holdier Curriculum Vitae (April 2024).pdf
Holdier Curriculum Vitae (April 2024).pdfHoldier Curriculum Vitae (April 2024).pdf
Holdier Curriculum Vitae (April 2024).pdf
 
Código Creativo y Arte de Software | Unidad 1
Código Creativo y Arte de Software | Unidad 1Código Creativo y Arte de Software | Unidad 1
Código Creativo y Arte de Software | Unidad 1
 
An Overview of Mutual Funds Bcom Project.pdf
An Overview of Mutual Funds Bcom Project.pdfAn Overview of Mutual Funds Bcom Project.pdf
An Overview of Mutual Funds Bcom Project.pdf
 
Measures of Dispersion and Variability: Range, QD, AD and SD
Measures of Dispersion and Variability: Range, QD, AD and SDMeasures of Dispersion and Variability: Range, QD, AD and SD
Measures of Dispersion and Variability: Range, QD, AD and SD
 
Mixin Classes in Odoo 17 How to Extend Models Using Mixin Classes
Mixin Classes in Odoo 17  How to Extend Models Using Mixin ClassesMixin Classes in Odoo 17  How to Extend Models Using Mixin Classes
Mixin Classes in Odoo 17 How to Extend Models Using Mixin Classes
 
APM Welcome, APM North West Network Conference, Synergies Across Sectors
APM Welcome, APM North West Network Conference, Synergies Across SectorsAPM Welcome, APM North West Network Conference, Synergies Across Sectors
APM Welcome, APM North West Network Conference, Synergies Across Sectors
 
ICT Role in 21st Century Education & its Challenges.pptx
ICT Role in 21st Century Education & its Challenges.pptxICT Role in 21st Century Education & its Challenges.pptx
ICT Role in 21st Century Education & its Challenges.pptx
 

1007 ch 10 day 7

  • 1. 10.3 Hyperbolas Day Two Romans 6:4 "Therefore we are buried with him by baptism into death: that like as Christ was raised up from the dead by the glory of the Father, even so we also should walk in newness of life."
  • 2. 1. Find the equation of the hyperbola in standard form with vertices of ( ± 2, 0 ) and foci ( ± 3, 0 ) .
  • 3. 1. Find the equation of the hyperbola in standard form with vertices of ( ± 2, 0 ) and foci ( ± 3, 0 ) . 2 2 2 a=2 c=3 c = a +b 2 9 = 4+b 2 b =5
  • 4. 1. Find the equation of the hyperbola in standard form with vertices of ( ± 2, 0 ) and foci ( ± 3, 0 ) . 2 2 2 a=2 c=3 c = a +b 2 9 = 4+b 2 b =5 2 2 x y − =1 4 5
  • 5. 2. Find the equation and the foci of the hyperbola with vertices ( 0, ± 4 ) and asymptotes y = ± 4x .
  • 6. 2. Find the equation and the foci of the hyperbola with vertices ( 0, ± 4 ) and asymptotes y = ± 4x . a a = 4 and = 4 ∴b = 1 b
  • 7. 2. Find the equation and the foci of the hyperbola with vertices ( 0, ± 4 ) and asymptotes y = ± 4x . a a = 4 and = 4 ∴b = 1 b 2 2 2 c = a +b 2 c = 17 c = 17 ≈ 4.1
  • 8. 2. Find the equation and the foci of the hyperbola with vertices ( 0, ± 4 ) and asymptotes y = ± 4x . a a = 4 and = 4 ∴b = 1 b 2 2 2 c = a +b 2 c = 17 c = 17 ≈ 4.1 2 y 2 Equation : − x =1 16 foci : ( 0, ± 17 )
  • 9. Turn to page 767 and read the paragraph about the reflective properties of conics. (At the bottom of the page)
  • 16. HW #7 “Courage is resistance to fear, mastery of fear - not absence of fear.” Mark Twain

Editor's Notes

  1. \n
  2. \n
  3. \n
  4. \n
  5. \n
  6. \n
  7. \n
  8. \n
  9. \n
  10. \n
  11. \n
  12. \n
  13. \n
  14. \n