SlideShare ist ein Scribd-Unternehmen logo
1 von 17
QUADRATICS &
POLYNOMIALS
VERTEX, AXIS INTERCEPTS, MAX MIN, Y VALUES
COEFFICIENTS
•
•
•
•

https://www.desmos.com/calculator
Use this graphing calculator to play with the coefficients.
Remember:
1.) a is the ONLY one which changes the shape of the quadratic!
2.) b changes the ‘bottom’ position from one quadrant to another
3.) c moves up or down along the y axis. (DRAW THE LINE
THROUGH c)
“A

vertex (plural vertices) is a special kind of point
that describes the corners of geometric shapes”
WHAT ABOUT
PARABOLA….
Intercepts are
points where the
function goes through
the axis.
THE POINT AT WHICH THE PARABOLA ‘FLIPS’
ITS SLOPE BACKWARDS IS CALLED THE
VERTEX.
Parabola is reflected across this line using the line of symmetry.
(REMEMBER COEFFICIENT c?)
SO, WHAT ARE INTERCEPTS?

The intersections of the axes and the
parabola are called intercepts.
Step 1: Switch Your Graphing Calculator on.
USE THE SHEET TO CREATE YOUR OWN
QUADRATIC EQUATIONS AND FIND THEIR
VERTEX, MINIMUM, MAXIMUM AND INTERCEPT.

Weitere ähnliche Inhalte

Was ist angesagt?

Lab three map scale
Lab three map scaleLab three map scale
Lab three map scale
lschmidt1170
 
Ce6304 surveying 1 contour (iv unit) lecture ppt notes
Ce6304 surveying 1   contour (iv unit) lecture ppt notesCe6304 surveying 1   contour (iv unit) lecture ppt notes
Ce6304 surveying 1 contour (iv unit) lecture ppt notes
nandishsajjan
 

Was ist angesagt? (19)

Map Reading
Map ReadingMap Reading
Map Reading
 
Contours And Its Uses
Contours And Its UsesContours And Its Uses
Contours And Its Uses
 
Map Reading
Map ReadingMap Reading
Map Reading
 
Contour Lines
Contour LinesContour Lines
Contour Lines
 
Map Reading
Map ReadingMap Reading
Map Reading
 
height on maps contours
 height on maps contours height on maps contours
height on maps contours
 
Contours on OS Maps
Contours on OS MapsContours on OS Maps
Contours on OS Maps
 
Countering for surveying
Countering for surveyingCountering for surveying
Countering for surveying
 
Lab three map scale
Lab three map scaleLab three map scale
Lab three map scale
 
Types of Map Scales
Types of Map ScalesTypes of Map Scales
Types of Map Scales
 
Geography Skills: Scale
Geography Skills:  ScaleGeography Skills:  Scale
Geography Skills: Scale
 
Introduction to geomorphology in GRASS GIS - by Skyler Sorsby
Introduction to geomorphology in GRASS GIS - by Skyler SorsbyIntroduction to geomorphology in GRASS GIS - by Skyler Sorsby
Introduction to geomorphology in GRASS GIS - by Skyler Sorsby
 
Tarea1
Tarea1Tarea1
Tarea1
 
Contouring
ContouringContouring
Contouring
 
PGL (Persamaan Garis Dari Gambar Garis Lurus & Dari Dua Titik) - Pertemuan 1
PGL (Persamaan Garis Dari Gambar Garis Lurus & Dari Dua Titik) - Pertemuan 1PGL (Persamaan Garis Dari Gambar Garis Lurus & Dari Dua Titik) - Pertemuan 1
PGL (Persamaan Garis Dari Gambar Garis Lurus & Dari Dua Titik) - Pertemuan 1
 
Area and Grid References
Area and Grid ReferencesArea and Grid References
Area and Grid References
 
Contouring
ContouringContouring
Contouring
 
Ce6304 surveying 1 contour (iv unit) lecture ppt notes
Ce6304 surveying 1   contour (iv unit) lecture ppt notesCe6304 surveying 1   contour (iv unit) lecture ppt notes
Ce6304 surveying 1 contour (iv unit) lecture ppt notes
 
CONTOURING
CONTOURINGCONTOURING
CONTOURING
 

Andere mochten auch (7)

Sohan CV
Sohan CVSohan CV
Sohan CV
 
06 application problems
06   application problems06   application problems
06 application problems
 
Maths polynomials 9th
Maths polynomials 9thMaths polynomials 9th
Maths polynomials 9th
 
Polynomials
PolynomialsPolynomials
Polynomials
 
Polynomials And Linear Equation of Two Variables
Polynomials And Linear Equation of Two VariablesPolynomials And Linear Equation of Two Variables
Polynomials And Linear Equation of Two Variables
 
polynomials class 9th
polynomials class 9thpolynomials class 9th
polynomials class 9th
 
Polynomials
PolynomialsPolynomials
Polynomials
 

Ähnlich wie 02 vertex, min, max, intercepts - graphing

Part 4-Types and mathematical representations of Curves .pptx
Part 4-Types and mathematical representations of Curves .pptxPart 4-Types and mathematical representations of Curves .pptx
Part 4-Types and mathematical representations of Curves .pptx
Khalil Alhatab
 
3.3 graphs of exponential functions
3.3 graphs of  exponential functions3.3 graphs of  exponential functions
3.3 graphs of exponential functions
hisema01
 

Ähnlich wie 02 vertex, min, max, intercepts - graphing (20)

Curves
CurvesCurves
Curves
 
UNIT 2-Geometric Modeling.pptx
UNIT 2-Geometric Modeling.pptxUNIT 2-Geometric Modeling.pptx
UNIT 2-Geometric Modeling.pptx
 
Introduction to the curves
Introduction to the curvesIntroduction to the curves
Introduction to the curves
 
Part 4-Types and mathematical representations of Curves .pptx
Part 4-Types and mathematical representations of Curves .pptxPart 4-Types and mathematical representations of Curves .pptx
Part 4-Types and mathematical representations of Curves .pptx
 
Applications of Linear Algebra: Enigma Machine
Applications of Linear Algebra: Enigma MachineApplications of Linear Algebra: Enigma Machine
Applications of Linear Algebra: Enigma Machine
 
1516 contouring
1516 contouring1516 contouring
1516 contouring
 
math conic sections.pptx
math conic sections.pptxmath conic sections.pptx
math conic sections.pptx
 
Elhabian_curves10.pdf
Elhabian_curves10.pdfElhabian_curves10.pdf
Elhabian_curves10.pdf
 
3.3 graphs of exponential functions
3.3 graphs of  exponential functions3.3 graphs of  exponential functions
3.3 graphs of exponential functions
 
Curve 1
Curve 1Curve 1
Curve 1
 
Directions, planes and miller indices
Directions, planes and miller indicesDirections, planes and miller indices
Directions, planes and miller indices
 
ppt 1.pptx
ppt 1.pptxppt 1.pptx
ppt 1.pptx
 
Unit 2 curves & surfaces
Unit 2  curves & surfacesUnit 2  curves & surfaces
Unit 2 curves & surfaces
 
cupdf.com_control-chap7.ppt
cupdf.com_control-chap7.pptcupdf.com_control-chap7.ppt
cupdf.com_control-chap7.ppt
 
Conic Sections
Conic SectionsConic Sections
Conic Sections
 
Edp curve1
Edp  curve1Edp  curve1
Edp curve1
 
Curves part one
Curves part oneCurves part one
Curves part one
 
Geometrical transformation
Geometrical transformationGeometrical transformation
Geometrical transformation
 
curve one
curve onecurve one
curve one
 
construction of ellipse and scales
construction of ellipse and scalesconstruction of ellipse and scales
construction of ellipse and scales
 

Mehr von majapamaya (20)

Mathematics observation
Mathematics observationMathematics observation
Mathematics observation
 
Observing two research classes
Observing   two research classesObserving   two research classes
Observing two research classes
 
Observations debate class
Observations  debate classObservations  debate class
Observations debate class
 
Biology class observation
Biology class observationBiology class observation
Biology class observation
 
Reflective technique
Reflective techniqueReflective technique
Reflective technique
 
MAT (Mathematical and Abstract Thinking) Reflection
MAT (Mathematical and Abstract Thinking) ReflectionMAT (Mathematical and Abstract Thinking) Reflection
MAT (Mathematical and Abstract Thinking) Reflection
 
Mat reflection
Mat reflectionMat reflection
Mat reflection
 
Mat reflection jo kallaway
Mat reflection   jo kallawayMat reflection   jo kallaway
Mat reflection jo kallaway
 
Plp task description
Plp task descriptionPlp task description
Plp task description
 
Program 2013
Program 2013Program 2013
Program 2013
 
2013 masa annual conference description
2013 masa annual conference description2013 masa annual conference description
2013 masa annual conference description
 
Maja(charlotte)
Maja(charlotte)Maja(charlotte)
Maja(charlotte)
 
Student Observation of me
Student Observation of meStudent Observation of me
Student Observation of me
 
Surds and indices
Surds and indicesSurds and indices
Surds and indices
 
Project proposal 1
Project proposal 1Project proposal 1
Project proposal 1
 
Combinatorics game
Combinatorics gameCombinatorics game
Combinatorics game
 
Project proposal 1
Project proposal 1Project proposal 1
Project proposal 1
 
Canon game proposal
Canon game proposalCanon game proposal
Canon game proposal
 
Canon game proposal
Canon game proposalCanon game proposal
Canon game proposal
 
Explanation of app
Explanation of appExplanation of app
Explanation of app
 

Kürzlich hochgeladen

Kürzlich hochgeladen (20)

Apidays New York 2024 - The Good, the Bad and the Governed by David O'Neill, ...
Apidays New York 2024 - The Good, the Bad and the Governed by David O'Neill, ...Apidays New York 2024 - The Good, the Bad and the Governed by David O'Neill, ...
Apidays New York 2024 - The Good, the Bad and the Governed by David O'Neill, ...
 
Emergent Methods: Multi-lingual narrative tracking in the news - real-time ex...
Emergent Methods: Multi-lingual narrative tracking in the news - real-time ex...Emergent Methods: Multi-lingual narrative tracking in the news - real-time ex...
Emergent Methods: Multi-lingual narrative tracking in the news - real-time ex...
 
Automating Google Workspace (GWS) & more with Apps Script
Automating Google Workspace (GWS) & more with Apps ScriptAutomating Google Workspace (GWS) & more with Apps Script
Automating Google Workspace (GWS) & more with Apps Script
 
ProductAnonymous-April2024-WinProductDiscovery-MelissaKlemke
ProductAnonymous-April2024-WinProductDiscovery-MelissaKlemkeProductAnonymous-April2024-WinProductDiscovery-MelissaKlemke
ProductAnonymous-April2024-WinProductDiscovery-MelissaKlemke
 
DBX First Quarter 2024 Investor Presentation
DBX First Quarter 2024 Investor PresentationDBX First Quarter 2024 Investor Presentation
DBX First Quarter 2024 Investor Presentation
 
Apidays New York 2024 - The value of a flexible API Management solution for O...
Apidays New York 2024 - The value of a flexible API Management solution for O...Apidays New York 2024 - The value of a flexible API Management solution for O...
Apidays New York 2024 - The value of a flexible API Management solution for O...
 
A Year of the Servo Reboot: Where Are We Now?
A Year of the Servo Reboot: Where Are We Now?A Year of the Servo Reboot: Where Are We Now?
A Year of the Servo Reboot: Where Are We Now?
 
presentation ICT roal in 21st century education
presentation ICT roal in 21st century educationpresentation ICT roal in 21st century education
presentation ICT roal in 21st century education
 
Axa Assurance Maroc - Insurer Innovation Award 2024
Axa Assurance Maroc - Insurer Innovation Award 2024Axa Assurance Maroc - Insurer Innovation Award 2024
Axa Assurance Maroc - Insurer Innovation Award 2024
 
TrustArc Webinar - Stay Ahead of US State Data Privacy Law Developments
TrustArc Webinar - Stay Ahead of US State Data Privacy Law DevelopmentsTrustArc Webinar - Stay Ahead of US State Data Privacy Law Developments
TrustArc Webinar - Stay Ahead of US State Data Privacy Law Developments
 
EMPOWERMENT TECHNOLOGY GRADE 11 QUARTER 2 REVIEWER
EMPOWERMENT TECHNOLOGY GRADE 11 QUARTER 2 REVIEWEREMPOWERMENT TECHNOLOGY GRADE 11 QUARTER 2 REVIEWER
EMPOWERMENT TECHNOLOGY GRADE 11 QUARTER 2 REVIEWER
 
Real Time Object Detection Using Open CV
Real Time Object Detection Using Open CVReal Time Object Detection Using Open CV
Real Time Object Detection Using Open CV
 
Manulife - Insurer Transformation Award 2024
Manulife - Insurer Transformation Award 2024Manulife - Insurer Transformation Award 2024
Manulife - Insurer Transformation Award 2024
 
MINDCTI Revenue Release Quarter One 2024
MINDCTI Revenue Release Quarter One 2024MINDCTI Revenue Release Quarter One 2024
MINDCTI Revenue Release Quarter One 2024
 
Polkadot JAM Slides - Token2049 - By Dr. Gavin Wood
Polkadot JAM Slides - Token2049 - By Dr. Gavin WoodPolkadot JAM Slides - Token2049 - By Dr. Gavin Wood
Polkadot JAM Slides - Token2049 - By Dr. Gavin Wood
 
Data Cloud, More than a CDP by Matt Robison
Data Cloud, More than a CDP by Matt RobisonData Cloud, More than a CDP by Matt Robison
Data Cloud, More than a CDP by Matt Robison
 
Strategies for Unlocking Knowledge Management in Microsoft 365 in the Copilot...
Strategies for Unlocking Knowledge Management in Microsoft 365 in the Copilot...Strategies for Unlocking Knowledge Management in Microsoft 365 in the Copilot...
Strategies for Unlocking Knowledge Management in Microsoft 365 in the Copilot...
 
Apidays New York 2024 - Accelerating FinTech Innovation by Vasa Krishnan, Fin...
Apidays New York 2024 - Accelerating FinTech Innovation by Vasa Krishnan, Fin...Apidays New York 2024 - Accelerating FinTech Innovation by Vasa Krishnan, Fin...
Apidays New York 2024 - Accelerating FinTech Innovation by Vasa Krishnan, Fin...
 
AXA XL - Insurer Innovation Award Americas 2024
AXA XL - Insurer Innovation Award Americas 2024AXA XL - Insurer Innovation Award Americas 2024
AXA XL - Insurer Innovation Award Americas 2024
 
ICT role in 21st century education and its challenges
ICT role in 21st century education and its challengesICT role in 21st century education and its challenges
ICT role in 21st century education and its challenges
 

02 vertex, min, max, intercepts - graphing

Hinweis der Redaktion

  1. Students to use the graphing calculator with teacher to play with the coefficients. Remind them:1.) a is the ONLY one which changes the shape of the quadratic!2.) b changes the ‘bottom’ position from one quadrant to another3.) c moves up or down along the y axis. DRAW THE LINE THROUGH c
  2. Show where vertex is.