SlideShare ist ein Scribd-Unternehmen logo
1 von 8
Graphing Quadratic Equations Standard Form
Vertex:  The maximum or minimum  point on the graph of a parabola. Axis of Symmetry:  An imaginary line on the graph over which the graph is a  reflection of itself. Roots:  The locations on the graph where the curve touches or crosses the x-axis
Anatomy of a Quadratic Equation in Standard Form a, b, and c are called “coefficients” The vertex can be found using  the coefficients in the formula   The axis of symmetry can be  found using the coefficients in the formula Similarities?
For Example… Axis of Symmetry Vertex
y 5 5 x O  5 5 Vertex: ______________   Axis of Symmetry: _________   Direction: __________   Root(s): _______   ________ up 1     3 16 6 0 0 6 16
y 5 5 x O  5 5 Vertex: ______________   Axis of Symmetry: _________   Direction: __________   Root(s): _______   ________ down -31 -5 0 3 3 0 -5
Find the Value of a Function at a particular value of x
Assignment  Worksheet –  Graphing Quadratics in Standard Form

Weitere ähnliche Inhalte

Was ist angesagt?

Was ist angesagt? (19)

Analytical geometry
Analytical geometryAnalytical geometry
Analytical geometry
 
A Presentation on Axis System (10.01.03.111)
A Presentation on  Axis System (10.01.03.111)A Presentation on  Axis System (10.01.03.111)
A Presentation on Axis System (10.01.03.111)
 
12.1 solid geometry
12.1 solid geometry12.1 solid geometry
12.1 solid geometry
 
Analytical geometry Grade 10
Analytical geometry Grade 10Analytical geometry Grade 10
Analytical geometry Grade 10
 
Analytic geom and distance formula
Analytic geom and distance formulaAnalytic geom and distance formula
Analytic geom and distance formula
 
Analytic geometry basic concepts
Analytic geometry basic conceptsAnalytic geometry basic concepts
Analytic geometry basic concepts
 
The Coordinate Plane (Geometry 2_4)
The Coordinate Plane (Geometry 2_4)The Coordinate Plane (Geometry 2_4)
The Coordinate Plane (Geometry 2_4)
 
The rectangular coordinate plane
The rectangular coordinate planeThe rectangular coordinate plane
The rectangular coordinate plane
 
Coordinate Plane[1]
Coordinate Plane[1]Coordinate Plane[1]
Coordinate Plane[1]
 
Types of graphs
Types of graphsTypes of graphs
Types of graphs
 
Pensamiento geometrico analitico
Pensamiento geometrico analiticoPensamiento geometrico analitico
Pensamiento geometrico analitico
 
Analytic geometry lecture1
Analytic geometry lecture1Analytic geometry lecture1
Analytic geometry lecture1
 
Section 3 3
Section 3 3Section 3 3
Section 3 3
 
Coordinate goemetry
Coordinate goemetryCoordinate goemetry
Coordinate goemetry
 
Kent powerpoint
Kent powerpointKent powerpoint
Kent powerpoint
 
Patterns
PatternsPatterns
Patterns
 
7.5 proportions in triangles
7.5 proportions in triangles7.5 proportions in triangles
7.5 proportions in triangles
 
Ies
IesIes
Ies
 
Basic Analytical Geometry
Basic Analytical GeometryBasic Analytical Geometry
Basic Analytical Geometry
 

Ähnlich wie Graph Quadratic Equations Standard Form

Solving Quadratics
Solving QuadraticsSolving Quadratics
Solving Quadraticsallie125
 
Plano cartesiano iliaiza gomez
Plano cartesiano iliaiza gomezPlano cartesiano iliaiza gomez
Plano cartesiano iliaiza gomezIliaizaGmez
 
April 8, 2015
April 8, 2015April 8, 2015
April 8, 2015khyps13
 
5 8 Parallel Perpendicular Lines
5 8 Parallel Perpendicular Lines5 8 Parallel Perpendicular Lines
5 8 Parallel Perpendicular LinesBitsy Griffin
 
Assignment calculus (repaired)
Assignment calculus (repaired)Assignment calculus (repaired)
Assignment calculus (repaired)Ker0
 
Conic Sections Parabolas FCIT compat.ppt
Conic Sections Parabolas FCIT compat.pptConic Sections Parabolas FCIT compat.ppt
Conic Sections Parabolas FCIT compat.pptarvin gutierrez
 
57 graphing lines from linear equations
57 graphing lines from linear equations57 graphing lines from linear equations
57 graphing lines from linear equationsalg1testreview
 
Presentation on textile mathematics
Presentation on textile mathematicsPresentation on textile mathematics
Presentation on textile mathematicsBILAL ABDULLAH
 
Graphs and eularian circuit & path with c++ program
Graphs and eularian circuit & path with c++ programGraphs and eularian circuit & path with c++ program
Graphs and eularian circuit & path with c++ programMuhammad Danish Badar
 
2. PARABOLA (PRECAL).pptx
2. PARABOLA (PRECAL).pptx2. PARABOLA (PRECAL).pptx
2. PARABOLA (PRECAL).pptxJeromePascual12
 
Lesson 13 algebraic curves
Lesson 13    algebraic curvesLesson 13    algebraic curves
Lesson 13 algebraic curvesJean Leano
 
AXIOMATIC STRUCTURE.pptx mathematics g88
AXIOMATIC STRUCTURE.pptx mathematics g88AXIOMATIC STRUCTURE.pptx mathematics g88
AXIOMATIC STRUCTURE.pptx mathematics g88SusanNarvas1
 
April 2, 2014
April 2, 2014April 2, 2014
April 2, 2014khyps13
 
4.2 standard form of a quadratic function (Part 1)
4.2 standard form of a quadratic function (Part 1)4.2 standard form of a quadratic function (Part 1)
4.2 standard form of a quadratic function (Part 1)leblance
 
Coordinate System.pptx
Coordinate System.pptxCoordinate System.pptx
Coordinate System.pptxKeizylleCajeme
 
Coordinate System.pptx
Coordinate System.pptxCoordinate System.pptx
Coordinate System.pptxKeizylleCajeme
 
Forms Of Quadratic
Forms Of QuadraticForms Of Quadratic
Forms Of Quadraticsoflaman
 

Ähnlich wie Graph Quadratic Equations Standard Form (20)

Solving Quadratics
Solving QuadraticsSolving Quadratics
Solving Quadratics
 
Plano cartesiano iliaiza gomez
Plano cartesiano iliaiza gomezPlano cartesiano iliaiza gomez
Plano cartesiano iliaiza gomez
 
April 8, 2015
April 8, 2015April 8, 2015
April 8, 2015
 
5 8 Parallel Perpendicular Lines
5 8 Parallel Perpendicular Lines5 8 Parallel Perpendicular Lines
5 8 Parallel Perpendicular Lines
 
Assignment calculus (repaired)
Assignment calculus (repaired)Assignment calculus (repaired)
Assignment calculus (repaired)
 
Conic Sections Parabolas FCIT compat.ppt
Conic Sections Parabolas FCIT compat.pptConic Sections Parabolas FCIT compat.ppt
Conic Sections Parabolas FCIT compat.ppt
 
57 graphing lines from linear equations
57 graphing lines from linear equations57 graphing lines from linear equations
57 graphing lines from linear equations
 
Presentation on textile mathematics
Presentation on textile mathematicsPresentation on textile mathematics
Presentation on textile mathematics
 
Graphs and eularian circuit & path with c++ program
Graphs and eularian circuit & path with c++ programGraphs and eularian circuit & path with c++ program
Graphs and eularian circuit & path with c++ program
 
2. PARABOLA (PRECAL).pptx
2. PARABOLA (PRECAL).pptx2. PARABOLA (PRECAL).pptx
2. PARABOLA (PRECAL).pptx
 
Quadratics
QuadraticsQuadratics
Quadratics
 
Calculus
CalculusCalculus
Calculus
 
Lesson 13 algebraic curves
Lesson 13    algebraic curvesLesson 13    algebraic curves
Lesson 13 algebraic curves
 
AXIOMATIC STRUCTURE.pptx mathematics g88
AXIOMATIC STRUCTURE.pptx mathematics g88AXIOMATIC STRUCTURE.pptx mathematics g88
AXIOMATIC STRUCTURE.pptx mathematics g88
 
April 2, 2014
April 2, 2014April 2, 2014
April 2, 2014
 
4.2 standard form of a quadratic function (Part 1)
4.2 standard form of a quadratic function (Part 1)4.2 standard form of a quadratic function (Part 1)
4.2 standard form of a quadratic function (Part 1)
 
Coordinate System.pptx
Coordinate System.pptxCoordinate System.pptx
Coordinate System.pptx
 
Coordinate System.pptx
Coordinate System.pptxCoordinate System.pptx
Coordinate System.pptx
 
Forms Of Quadratic
Forms Of QuadraticForms Of Quadratic
Forms Of Quadratic
 
Curves
CurvesCurves
Curves
 

Mehr von Northside ISD

6.4.1 sum and difference formulas
6.4.1 sum and difference formulas6.4.1 sum and difference formulas
6.4.1 sum and difference formulasNorthside ISD
 
6.4.2 sum and difference formulas
6.4.2 sum and difference formulas6.4.2 sum and difference formulas
6.4.2 sum and difference formulasNorthside ISD
 
6.4.3 sum and difference formulas
6.4.3 sum and difference formulas6.4.3 sum and difference formulas
6.4.3 sum and difference formulasNorthside ISD
 
6.5.1 double angle formulas
6.5.1 double angle formulas6.5.1 double angle formulas
6.5.1 double angle formulasNorthside ISD
 
6.4.3 sum and difference formulas
6.4.3 sum and difference formulas6.4.3 sum and difference formulas
6.4.3 sum and difference formulasNorthside ISD
 
6.4.2 sum and difference formulas
6.4.2 sum and difference formulas6.4.2 sum and difference formulas
6.4.2 sum and difference formulasNorthside ISD
 
6.4.1 sum and difference formulas
6.4.1 sum and difference formulas6.4.1 sum and difference formulas
6.4.1 sum and difference formulasNorthside ISD
 
6.5.2 half angle formulas
6.5.2 half angle formulas6.5.2 half angle formulas
6.5.2 half angle formulasNorthside ISD
 
4.9.1 quad inequal graph 2 var
4.9.1 quad inequal graph 2 var4.9.1 quad inequal graph 2 var
4.9.1 quad inequal graph 2 varNorthside ISD
 
4.9.3 quad inequal algebraically
4.9.3 quad inequal algebraically4.9.3 quad inequal algebraically
4.9.3 quad inequal algebraicallyNorthside ISD
 
4.9.3 quad inequal algebraically
4.9.3 quad inequal algebraically4.9.3 quad inequal algebraically
4.9.3 quad inequal algebraicallyNorthside ISD
 
4.9.2 quad inequal tables and line graphs
4.9.2 quad inequal tables and line graphs4.9.2 quad inequal tables and line graphs
4.9.2 quad inequal tables and line graphsNorthside ISD
 
6.4.3 sum and difference formulas
6.4.3 sum and difference formulas6.4.3 sum and difference formulas
6.4.3 sum and difference formulasNorthside ISD
 
6.4.2 sum and difference formulas
6.4.2 sum and difference formulas6.4.2 sum and difference formulas
6.4.2 sum and difference formulasNorthside ISD
 
6.4.1 sum and difference formulas
6.4.1 sum and difference formulas6.4.1 sum and difference formulas
6.4.1 sum and difference formulasNorthside ISD
 
6.5.1 double angle formulas
6.5.1 double angle formulas6.5.1 double angle formulas
6.5.1 double angle formulasNorthside ISD
 
4.10.2 write models with calc reg
4.10.2 write models with calc reg4.10.2 write models with calc reg
4.10.2 write models with calc regNorthside ISD
 
4.10 write quadratic models
4.10 write quadratic models4.10 write quadratic models
4.10 write quadratic modelsNorthside ISD
 
4.8.2 quadratic formula
4.8.2 quadratic formula4.8.2 quadratic formula
4.8.2 quadratic formulaNorthside ISD
 
6.3.1 trig identities
6.3.1 trig identities6.3.1 trig identities
6.3.1 trig identitiesNorthside ISD
 

Mehr von Northside ISD (20)

6.4.1 sum and difference formulas
6.4.1 sum and difference formulas6.4.1 sum and difference formulas
6.4.1 sum and difference formulas
 
6.4.2 sum and difference formulas
6.4.2 sum and difference formulas6.4.2 sum and difference formulas
6.4.2 sum and difference formulas
 
6.4.3 sum and difference formulas
6.4.3 sum and difference formulas6.4.3 sum and difference formulas
6.4.3 sum and difference formulas
 
6.5.1 double angle formulas
6.5.1 double angle formulas6.5.1 double angle formulas
6.5.1 double angle formulas
 
6.4.3 sum and difference formulas
6.4.3 sum and difference formulas6.4.3 sum and difference formulas
6.4.3 sum and difference formulas
 
6.4.2 sum and difference formulas
6.4.2 sum and difference formulas6.4.2 sum and difference formulas
6.4.2 sum and difference formulas
 
6.4.1 sum and difference formulas
6.4.1 sum and difference formulas6.4.1 sum and difference formulas
6.4.1 sum and difference formulas
 
6.5.2 half angle formulas
6.5.2 half angle formulas6.5.2 half angle formulas
6.5.2 half angle formulas
 
4.9.1 quad inequal graph 2 var
4.9.1 quad inequal graph 2 var4.9.1 quad inequal graph 2 var
4.9.1 quad inequal graph 2 var
 
4.9.3 quad inequal algebraically
4.9.3 quad inequal algebraically4.9.3 quad inequal algebraically
4.9.3 quad inequal algebraically
 
4.9.3 quad inequal algebraically
4.9.3 quad inequal algebraically4.9.3 quad inequal algebraically
4.9.3 quad inequal algebraically
 
4.9.2 quad inequal tables and line graphs
4.9.2 quad inequal tables and line graphs4.9.2 quad inequal tables and line graphs
4.9.2 quad inequal tables and line graphs
 
6.4.3 sum and difference formulas
6.4.3 sum and difference formulas6.4.3 sum and difference formulas
6.4.3 sum and difference formulas
 
6.4.2 sum and difference formulas
6.4.2 sum and difference formulas6.4.2 sum and difference formulas
6.4.2 sum and difference formulas
 
6.4.1 sum and difference formulas
6.4.1 sum and difference formulas6.4.1 sum and difference formulas
6.4.1 sum and difference formulas
 
6.5.1 double angle formulas
6.5.1 double angle formulas6.5.1 double angle formulas
6.5.1 double angle formulas
 
4.10.2 write models with calc reg
4.10.2 write models with calc reg4.10.2 write models with calc reg
4.10.2 write models with calc reg
 
4.10 write quadratic models
4.10 write quadratic models4.10 write quadratic models
4.10 write quadratic models
 
4.8.2 quadratic formula
4.8.2 quadratic formula4.8.2 quadratic formula
4.8.2 quadratic formula
 
6.3.1 trig identities
6.3.1 trig identities6.3.1 trig identities
6.3.1 trig identities
 

Graph Quadratic Equations Standard Form

  • 2. Vertex: The maximum or minimum point on the graph of a parabola. Axis of Symmetry: An imaginary line on the graph over which the graph is a reflection of itself. Roots: The locations on the graph where the curve touches or crosses the x-axis
  • 3. Anatomy of a Quadratic Equation in Standard Form a, b, and c are called “coefficients” The vertex can be found using the coefficients in the formula The axis of symmetry can be found using the coefficients in the formula Similarities?
  • 4. For Example… Axis of Symmetry Vertex
  • 5. y 5 5 x O 5 5 Vertex: ______________   Axis of Symmetry: _________   Direction: __________   Root(s): _______ ________ up 1 3 16 6 0 0 6 16
  • 6. y 5 5 x O 5 5 Vertex: ______________   Axis of Symmetry: _________   Direction: __________   Root(s): _______ ________ down -31 -5 0 3 3 0 -5
  • 7. Find the Value of a Function at a particular value of x
  • 8. Assignment Worksheet – Graphing Quadratics in Standard Form