2.3 Visualizing Data Graphic Relationships. EquationType of Relationship Shape of Graph.

Slides:

Advertisements

Similar presentations

VISUALIZING DATA Ch. 2 Sect. 3. Graphing Data Charts are used to help analyze data Independent variable  Variable that is changed or manipulated  Experimenter.

Advertisements

6.1/6.2/6.6/6.7 Graphing , Solving, Analyzing Parabolas

Quadratic Functions By: Cristina V. & Jasmine V..

5.7 : Graphing and Solving Quadratic Inequalities

Objective: To explore the relationship between the graphs of y = f(x) and y = f(x + k), where f(x) is in the form of ax 2 + bx + c. Prepared by Jaco Cheung.

Lesson 1 (Parent Functions) Linear Functions: How do you find slope of a line? Slope-intercept form y=mx + b m is your slope, b is your y-intercept. Slope.

Solving Systems of Equations Graphically. Quadratic Equations/ Linear Equations  A quadratic equation is defined as an equation in which one or more.

4-6 Functions and Linear Equations (pg )

Solving Linear Inequalities `. Warm-up -4 < x ≤ 6 x ≤ -4 or x>

7.4 Solving Polynomial Equations Objectives: Solve polynomial equations. Find the real zeros of polynomial functions and state the multiplicity of each.

Ch 9: Quadratic Equations C) Graphing Parabolas

Graphing  A mathematical picture  Graphs are used to show information quickly and simply  Change one variable at a time to determine relationships 

Topic #2: Understanding Inverse Relations

Inverse Variation 1) In an inverse variation, the values of the two x and y change in an opposite manner - as one value increases, the other decreases.

Section 1-3: Graphing Data

M3 1.5 Systems of Linear Inequalities M3 1.5 Systems of Linear Inequalities Essential Questions: How can we write and graph a system of linear inequalities.

MM2A4. Students will solve quadratic equations and inequalities in one variable. d. Solve quadratic inequalities both graphically and algebraically, and.

3.1 Solving Systems Using Tables and Graphs When you have two or more related unknowns, you may be able to represent their relationship with a system of.

Visualizing Data Section 2.3

Key Concepts for Sect. 7.1 *A system of equations is two or more equations in two or more variables. *Numerically, a solution to a system of equations.

Section 8.7 More About Quadratic Function Graphs  Completing the Square  Finding Intercepts 8.71.

Section 8.1 Systems of Linear Equations; Substitution and Elimination.

Aims: To be able to find the inverse of a function. To know the graphical relationship between a function and its inverse. To understand the relationship.

Quadratic EquationFactorableD value? How many solutions? What type (rational, irrational)? 2x 2 – 5x -3 = 0 4x 2 – 5x -6 = 0 2x 2 – 6x -13 = 0 9x 2 + 6x.

Objectives: To identify quadratic functions and graphs and to model data with quadratic functions.

Graphing Motion. Graphing Data Independent axis: the x-axis- horizontal Dependent axis: the y-axis- vertical The y values depend on the x values.

5.8 Modeling with Quadratic Functions p. 306 What is the vertex form of a quadratic equation? Intercept form? How many points on a graph do you need to.

5.8 Modeling with Quadratic Functions

5.8 Modeling with Quadratic Functions By: L. Keali’i Alicea.

Notes Over 3.1 Solving a System Graphically Graph the linear system and estimate the solution. Then check the solution algebraically.

5.8 Modeling with Quadratic Functions p Remember the 3 forms of a quadratic equation! Standard Form y=ax 2 +bx+c Vertex Form y=a(x-h) 2 +k Intercepts.

Standard Form y=ax 2 + bx + c Factor (if possible) Opening (up/down) Minimum Maximum Quadratic Equation Name________________________Date ____________ QUADRATIC.

Common Core Standards Covered in this lesson: HSA-CED.A.2 --Create equations in two or more variables to represent relationships between quantities 8.F.A.3.

Objectives: Graph (and write) inequalities on a number line.

Quadratic and Square Root Inverse Relationships with Restrictions

1.1 Tables and Graphs of Linear Equations

Chapter 9 Linear and Quadratic Inequalities

Quadratic Inequalities

Linear Inequalities in Two Variables

Algebra I Section 9.3 Graph Quadratic Functions

Chapter 4 Vocabulary Functions.

Module 4, Lesson 4 Online Algebra

Types of graphs, their relationship and equation

4.8 Modeling Real-World Data with Polynomial Functions

Linear Equations Y X y = x + 2 X Y Y = 0 Y =1 Y = 2 Y = 3 Y = (0) + 2 Y = 2 1 Y = (1) + 2 Y = 3 2 Y = (2) + 2 Y = 4 X.

Use back - substitution to solve the triangular system. {image}

Mathematical relationships, science, and vocabulary

Warm Up Graph y = 4x and 16, $10’s and 7 $20’s.

Jeopardy Final Jeopardy Vocabulary Function Tables Random $100 $100

Before: March 12, 2018 Evaluate x² + 5x for x = 4 and x = -3.

Graphing Techniques.

Graphing Nonlinear Functions Pages 694 – 697

Objective Solve quadratic equations by graphing.

Exploring Quadratic Expressions

Learning Targets Students will be able to: Compare linear, quadratic, and exponential models and given a set of data, decide which type of function models.

Chapter 2 A Mathematical Toolkit

Warm Up Graph y = 4x and 16, $10’s and 7 $20’s.

Graph Review Skills Needed Identify the relationship in the graph

Ch.4.8 Quadratic Functions Preview

How to describe all sections of the graph

Quadratic Graphs.

Objectives Compare linear, quadratic, and exponential models.

Chapter 5: Graphs & Functions

LINEAR & QUADRATIC GRAPHS

Graphing Skills for 2.1 Assessments

quadratic formula. If ax2 + bx + c = 0 then

Systems of Linear Equations; Substitution and Elimination

Graphing Data Section 1-3.

Presentation transcript:

2.3 Visualizing Data Graphic Relationships

EquationType of Relationship Shape of Graph

EquationType of Relationship Shape of Graph y=mx + b

EquationType of Relationship Shape of Graph y=mx + bLinear (direct)

EquationType of Relationship Shape of Graph y=mx + bLinear (direct)line

EquationType of Relationship Shape of Graph y=mx + bLinear (direct)line y=ax 2 + bx + c

EquationType of Relationship Shape of Graph y=mx + bLinear (direct)line y=ax 2 + bx + c quadratic

EquationType of Relationship Shape of Graph y=mx + bLinear (direct)line y=ax 2 + bx + c quadraticparabola

EquationType of Relationship Shape of Graph y=mx + bLinear (direct)line y=ax 2 + bx + c quadraticparabola y=a/x or xy=a

EquationType of Relationship Shape of Graph y=mx + bLinear (direct)line y=ax 2 + bx + c quadraticparabola y=a/x or xy=aInverse

EquationType of Relationship Shape of Graph y=mx + bLinear (direct)line y=ax 2 + bx + c quadraticparabola y=a/x or xy=aInversehyperbola

What type of relationship and graph would be represented between the variables in each of the following examples? EquationRelationshipGraph Shape K=8c + 5 L = 4/m +7 y = 5x 2 + 6x – 1 P = 1/ T

What type of relationship and graph would be represented between the variables in each of the following examples? EquationRelationshipGraph Shape K=8c + 5 Linear (direct) L = 4/m +7 y = 5x 2 + 6x – 1 P = 1/ T

What type of relationship and graph would be represented between the variables in each of the following examples? EquationRelationshipGraph Shape K=8c + 5 Linear (direct)line L = 4/m +7 y = 5x 2 + 6x – 1 P = 1/ T

What type of relationship and graph would be represented between the variables in each of the following examples? EquationRelationshipGraph Shape K=8c + 5 Linear (direct)line L = 4/m +7inverse y = 5x 2 + 6x – 1 P = 1/ T

What type of relationship and graph would be represented between the variables in each of the following examples? EquationRelationshipGraph Shape K=8c + 5 Linear (direct)line L = 4/m +7inversehyperbola y = 5x 2 + 6x – 1 P = 1/ T

What type of relationship and graph would be represented between the variables in each of the following examples? EquationRelationshipGraph Shape K=8c + 5 Linear (direct)line L = 4/m +7inversehyperbola y = 5x 2 + 6x – 1 quadratic P = 1/ T

What type of relationship and graph would be represented between the variables in each of the following examples? EquationRelationshipGraph Shape K=8c + 5 Linear (direct)line L = 4/m +7inversehyperbola y = 5x 2 + 6x – 1 quadraticparabola P = 1/ T

What type of relationship and graph would be represented between the variables in each of the following examples? EquationRelationshipGraph Shape K=8c + 5 Linear (direct)line L = 4/m +7inversehyperbola y = 5x 2 + 6x – 1 quadraticparabola P = 1/ Tinverse

What type of relationship and graph would be represented between the variables in each of the following examples? EquationRelationshipGraph Shape K=8c + 5 Linear (direct)line L = 4/m +7inversehyperbola y = 5x 2 + 6x – 1 quadraticparabola P = 1/ Tinversehyperbola