SlideShare a Scribd company logo
1 of 11
Quadratic Applications Maximum and Minimum values of Quadratic Functions
h=initial height, v=initial velocity, and t = time ,[object Object],[object Object],[object Object],[object Object],[object Object]
Solution:  Find the vertex of the parabola. (Use your graphing calculator to find the coordinates of the vertex.)  The x value will be the time it takes to reach the maximum height and the y value will be the height. To find when the ball reaches the ground again, use the calculator to find the second zero or root. (The x value will be the time.) In this problem the ball has no initial height.  Sometimes there will be  a height and sometimes there will not be initial velocity if the object is at rest.  Read the problem very carefully .
 
The maximum is the point (1,16).  Using the graphing calculator you might need to round to the nearest integer at times. The maximum height is 16 after 1 second.
Quadratic Function Applications Area Problem ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Quadratic Function Applications ,[object Object],[object Object],[object Object],[object Object]
Topics to be covered on Module 7 Test Factoring, Vertex form, identifying quadratic equation, applications of quadratic equations, and finding quadratic best-fit equation ,[object Object],[object Object],[object Object]
Module 8  Complex Numbers ,[object Object],DEFINITION OF i  And
Example # 1  =  Example # 2  =  = = Example # 3 = = = =
Solving Quadratic Equations by Factoring ,[object Object],=0 Now set each set of ( ) equal to zero and solve. x=5 and x=5 Example # 2

More Related Content

What's hot

0101: Graphing Quadratic Functions
0101: Graphing Quadratic Functions0101: Graphing Quadratic Functions
0101: Graphing Quadratic Functions
kijo13
 
Notes solving polynomial equations
Notes   solving polynomial equationsNotes   solving polynomial equations
Notes solving polynomial equations
Lori Rapp
 
Quadratic Function Presentation
Quadratic Function PresentationQuadratic Function Presentation
Quadratic Function Presentation
RyanWatt
 
7.3 quadratic techniques
7.3 quadratic techniques7.3 quadratic techniques
7.3 quadratic techniques
Jessica Garcia
 
Notes completing the square
Notes   completing the squareNotes   completing the square
Notes completing the square
Lori Rapp
 
Finding zeros of a quadratic function
Finding zeros of a quadratic functionFinding zeros of a quadratic function
Finding zeros of a quadratic function
Aaron James Lico
 
2.2 Polynomial Function Notes
2.2 Polynomial Function Notes2.2 Polynomial Function Notes
2.2 Polynomial Function Notes
lgemgnani
 
Chapter 3 quadratc functions
Chapter 3  quadratc functionsChapter 3  quadratc functions
Chapter 3 quadratc functions
atiqah ayie
 

What's hot (20)

Quadratic function
Quadratic functionQuadratic function
Quadratic function
 
9-5 Notes
9-5 Notes9-5 Notes
9-5 Notes
 
Mathematics 9 Quadratic Functions (Module 1)
Mathematics 9 Quadratic Functions (Module 1)Mathematics 9 Quadratic Functions (Module 1)
Mathematics 9 Quadratic Functions (Module 1)
 
Quadratic functions
Quadratic functionsQuadratic functions
Quadratic functions
 
0101: Graphing Quadratic Functions
0101: Graphing Quadratic Functions0101: Graphing Quadratic Functions
0101: Graphing Quadratic Functions
 
Ses 3 quadratic equations
Ses 3 quadratic equationsSes 3 quadratic equations
Ses 3 quadratic equations
 
Notes solving polynomial equations
Notes   solving polynomial equationsNotes   solving polynomial equations
Notes solving polynomial equations
 
Quadratic Function Presentation
Quadratic Function PresentationQuadratic Function Presentation
Quadratic Function Presentation
 
Unit2.polynomials.algebraicfractions
Unit2.polynomials.algebraicfractionsUnit2.polynomials.algebraicfractions
Unit2.polynomials.algebraicfractions
 
Module 3 quadratic functions
Module 3   quadratic functionsModule 3   quadratic functions
Module 3 quadratic functions
 
7.3 quadratic techniques
7.3 quadratic techniques7.3 quadratic techniques
7.3 quadratic techniques
 
10.4
10.410.4
10.4
 
Notes completing the square
Notes   completing the squareNotes   completing the square
Notes completing the square
 
Module 2 polynomial functions
Module 2   polynomial functionsModule 2   polynomial functions
Module 2 polynomial functions
 
Finding zeros of a quadratic function
Finding zeros of a quadratic functionFinding zeros of a quadratic function
Finding zeros of a quadratic function
 
2.2 Polynomial Function Notes
2.2 Polynomial Function Notes2.2 Polynomial Function Notes
2.2 Polynomial Function Notes
 
Chapter 3 quadratc functions
Chapter 3  quadratc functionsChapter 3  quadratc functions
Chapter 3 quadratc functions
 
Quadratics
QuadraticsQuadratics
Quadratics
 
Quadratic equations
Quadratic equationsQuadratic equations
Quadratic equations
 
Quadratic Equation
Quadratic EquationQuadratic Equation
Quadratic Equation
 

Similar to Quadratic applications ver b

Exercise roots of equations
Exercise roots of equationsExercise roots of equations
Exercise roots of equations
DUBAN CASTRO
 
Exercise roots of equations
Exercise roots of equationsExercise roots of equations
Exercise roots of equations
DUBAN CASTRO
 
3.7lecture
3.7lecture3.7lecture
3.7lecture
Ron_Eick
 
Calculus IDirections (10 pts. each) Answer each of the followin.docx
Calculus IDirections (10 pts. each) Answer each of the followin.docxCalculus IDirections (10 pts. each) Answer each of the followin.docx
Calculus IDirections (10 pts. each) Answer each of the followin.docx
clairbycraft
 
Solving Quadratics by Graphing
Solving Quadratics by GraphingSolving Quadratics by Graphing
Solving Quadratics by Graphing
mooca76
 
April 8, 2014
April 8, 2014April 8, 2014
April 8, 2014
khyps13
 
Solving quadratic equations[1]
Solving quadratic equations[1]Solving quadratic equations[1]
Solving quadratic equations[1]
RobinFilter
 
Solving quadratic equations
Solving quadratic equationsSolving quadratic equations
Solving quadratic equations
srobbins4
 

Similar to Quadratic applications ver b (20)

Exercise roots of equations
Exercise roots of equationsExercise roots of equations
Exercise roots of equations
 
Exercise roots of equations
Exercise roots of equationsExercise roots of equations
Exercise roots of equations
 
3.7lecture
3.7lecture3.7lecture
3.7lecture
 
Module 2 Lesson 2 Notes
Module 2 Lesson 2 NotesModule 2 Lesson 2 Notes
Module 2 Lesson 2 Notes
 
Calculus IDirections (10 pts. each) Answer each of the followin.docx
Calculus IDirections (10 pts. each) Answer each of the followin.docxCalculus IDirections (10 pts. each) Answer each of the followin.docx
Calculus IDirections (10 pts. each) Answer each of the followin.docx
 
Quadratic eq cth
Quadratic eq cthQuadratic eq cth
Quadratic eq cth
 
Advance algebra
Advance algebraAdvance algebra
Advance algebra
 
Cbse 12 Class Maths Sample Paper
Cbse 12 Class Maths Sample PaperCbse 12 Class Maths Sample Paper
Cbse 12 Class Maths Sample Paper
 
Lar calc10 ch03_sec7
Lar calc10 ch03_sec7Lar calc10 ch03_sec7
Lar calc10 ch03_sec7
 
Solving Quadratics by Graphing
Solving Quadratics by GraphingSolving Quadratics by Graphing
Solving Quadratics by Graphing
 
April 8, 2014
April 8, 2014April 8, 2014
April 8, 2014
 
Module 4 quadratic functions
Module 4 quadratic functionsModule 4 quadratic functions
Module 4 quadratic functions
 
Mathematics
MathematicsMathematics
Mathematics
 
Ecuaciones lineales 1
Ecuaciones lineales 1Ecuaciones lineales 1
Ecuaciones lineales 1
 
Solving quadratic equations[1]
Solving quadratic equations[1]Solving quadratic equations[1]
Solving quadratic equations[1]
 
Solving quadratic equations
Solving quadratic equationsSolving quadratic equations
Solving quadratic equations
 
G10_Daily Lesson Log_Second QUARTER.docx
G10_Daily Lesson Log_Second QUARTER.docxG10_Daily Lesson Log_Second QUARTER.docx
G10_Daily Lesson Log_Second QUARTER.docx
 
Chapter 3
Chapter 3Chapter 3
Chapter 3
 
Msm1 fl ch10_01
Msm1 fl ch10_01Msm1 fl ch10_01
Msm1 fl ch10_01
 
Single Variable Calculus Assignment Help
Single Variable Calculus Assignment HelpSingle Variable Calculus Assignment Help
Single Variable Calculus Assignment Help
 

Recently uploaded

Jual Obat Aborsi Hongkong ( Asli No.1 ) 085657271886 Obat Penggugur Kandungan...
Jual Obat Aborsi Hongkong ( Asli No.1 ) 085657271886 Obat Penggugur Kandungan...Jual Obat Aborsi Hongkong ( Asli No.1 ) 085657271886 Obat Penggugur Kandungan...
Jual Obat Aborsi Hongkong ( Asli No.1 ) 085657271886 Obat Penggugur Kandungan...
ZurliaSoop
 
Salient Features of India constitution especially power and functions
Salient Features of India constitution especially power and functionsSalient Features of India constitution especially power and functions
Salient Features of India constitution especially power and functions
KarakKing
 

Recently uploaded (20)

2024-NATIONAL-LEARNING-CAMP-AND-OTHER.pptx
2024-NATIONAL-LEARNING-CAMP-AND-OTHER.pptx2024-NATIONAL-LEARNING-CAMP-AND-OTHER.pptx
2024-NATIONAL-LEARNING-CAMP-AND-OTHER.pptx
 
Wellbeing inclusion and digital dystopias.pptx
Wellbeing inclusion and digital dystopias.pptxWellbeing inclusion and digital dystopias.pptx
Wellbeing inclusion and digital dystopias.pptx
 
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
 
Google Gemini An AI Revolution in Education.pptx
Google Gemini An AI Revolution in Education.pptxGoogle Gemini An AI Revolution in Education.pptx
Google Gemini An AI Revolution in Education.pptx
 
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.
 
Sociology 101 Demonstration of Learning Exhibit
Sociology 101 Demonstration of Learning ExhibitSociology 101 Demonstration of Learning Exhibit
Sociology 101 Demonstration of Learning Exhibit
 
Jual Obat Aborsi Hongkong ( Asli No.1 ) 085657271886 Obat Penggugur Kandungan...
Jual Obat Aborsi Hongkong ( Asli No.1 ) 085657271886 Obat Penggugur Kandungan...Jual Obat Aborsi Hongkong ( Asli No.1 ) 085657271886 Obat Penggugur Kandungan...
Jual Obat Aborsi Hongkong ( Asli No.1 ) 085657271886 Obat Penggugur Kandungan...
 
Salient Features of India constitution especially power and functions
Salient Features of India constitution especially power and functionsSalient Features of India constitution especially power and functions
Salient Features of India constitution especially power and functions
 
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
 
On National Teacher Day, meet the 2024-25 Kenan Fellows
On National Teacher Day, meet the 2024-25 Kenan FellowsOn National Teacher Day, meet the 2024-25 Kenan Fellows
On National Teacher Day, meet the 2024-25 Kenan Fellows
 
How to Manage Global Discount in Odoo 17 POS
How to Manage Global Discount in Odoo 17 POSHow to Manage Global Discount in Odoo 17 POS
How to Manage Global Discount in Odoo 17 POS
 
Python Notes for mca i year students osmania university.docx
Python Notes for mca i year students osmania university.docxPython Notes for mca i year students osmania university.docx
Python Notes for mca i year students osmania university.docx
 
Beyond_Borders_Understanding_Anime_and_Manga_Fandom_A_Comprehensive_Audience_...
Beyond_Borders_Understanding_Anime_and_Manga_Fandom_A_Comprehensive_Audience_...Beyond_Borders_Understanding_Anime_and_Manga_Fandom_A_Comprehensive_Audience_...
Beyond_Borders_Understanding_Anime_and_Manga_Fandom_A_Comprehensive_Audience_...
 
SOC 101 Demonstration of Learning Presentation
SOC 101 Demonstration of Learning PresentationSOC 101 Demonstration of Learning Presentation
SOC 101 Demonstration of Learning Presentation
 
HMCS Max Bernays Pre-Deployment Brief (May 2024).pptx
HMCS Max Bernays Pre-Deployment Brief (May 2024).pptxHMCS Max Bernays Pre-Deployment Brief (May 2024).pptx
HMCS Max Bernays Pre-Deployment Brief (May 2024).pptx
 
80 ĐỀ THI THỬ TUYỂN SINH TIẾNG ANH VÀO 10 SỞ GD – ĐT THÀNH PHỐ HỒ CHÍ MINH NĂ...
80 ĐỀ THI THỬ TUYỂN SINH TIẾNG ANH VÀO 10 SỞ GD – ĐT THÀNH PHỐ HỒ CHÍ MINH NĂ...80 ĐỀ THI THỬ TUYỂN SINH TIẾNG ANH VÀO 10 SỞ GD – ĐT THÀNH PHỐ HỒ CHÍ MINH NĂ...
80 ĐỀ THI THỬ TUYỂN SINH TIẾNG ANH VÀO 10 SỞ GD – ĐT THÀNH PHỐ HỒ CHÍ MINH NĂ...
 
UGC NET Paper 1 Mathematical Reasoning & Aptitude.pdf
UGC NET Paper 1 Mathematical Reasoning & Aptitude.pdfUGC NET Paper 1 Mathematical Reasoning & Aptitude.pdf
UGC NET Paper 1 Mathematical Reasoning & Aptitude.pdf
 
NO1 Top Black Magic Specialist In Lahore Black magic In Pakistan Kala Ilam Ex...
NO1 Top Black Magic Specialist In Lahore Black magic In Pakistan Kala Ilam Ex...NO1 Top Black Magic Specialist In Lahore Black magic In Pakistan Kala Ilam Ex...
NO1 Top Black Magic Specialist In Lahore Black magic In Pakistan Kala Ilam Ex...
 
HMCS Vancouver Pre-Deployment Brief - May 2024 (Web Version).pptx
HMCS Vancouver Pre-Deployment Brief - May 2024 (Web Version).pptxHMCS Vancouver Pre-Deployment Brief - May 2024 (Web Version).pptx
HMCS Vancouver Pre-Deployment Brief - May 2024 (Web Version).pptx
 
Understanding Accommodations and Modifications
Understanding  Accommodations and ModificationsUnderstanding  Accommodations and Modifications
Understanding Accommodations and Modifications
 

Quadratic applications ver b

  • 1. Quadratic Applications Maximum and Minimum values of Quadratic Functions
  • 2.
  • 3. Solution: Find the vertex of the parabola. (Use your graphing calculator to find the coordinates of the vertex.) The x value will be the time it takes to reach the maximum height and the y value will be the height. To find when the ball reaches the ground again, use the calculator to find the second zero or root. (The x value will be the time.) In this problem the ball has no initial height. Sometimes there will be a height and sometimes there will not be initial velocity if the object is at rest. Read the problem very carefully .
  • 4.  
  • 5. The maximum is the point (1,16). Using the graphing calculator you might need to round to the nearest integer at times. The maximum height is 16 after 1 second.
  • 6.
  • 7.
  • 8.
  • 9.
  • 10. Example # 1 = Example # 2 = = = Example # 3 = = = =
  • 11.