Curve Fitting with Quadratic Models Section 2.8. Quadratic Models O Can use differences of y-values to determine if ordered pairs represent quadratic.

Slides:

Advertisements

Similar presentations

Grade 8 Algebra I Identifying Quadratic Functions

Advertisements

Warm Up 1. Evaluate x2 + 5x for x = 4 and x = –3. 36; –6

2-7 Solving quadratic inequalities

Identifying Quadratic Functions

CCGPS Geometry Day 42 ( ) UNIT QUESTION: How are real life scenarios represented by quadratic functions? Today’s Question: How do we perform quadratic.

Lesson 4-4 Example Solve. DRINKS It costs $3 per bottle of orange drink. Graph an equation to represent the cost of purchasing x bottles of orange.

Notes Over 6.9Writing a Cubic Function Write the cubic function whose graph is shown.

Modeling with Polynomial Functions

Curving Fitting with 6-9 Polynomial Functions Warm Up

Patterns and Recursion

5.8 Quadratic Inequalities

Quadratic models.

5-8 Curve Fitting with Quadratic Models Warm Up Lesson Presentation

Choose functions using sets of ordered pairs EXAMPLE 1 Use a graph to tell whether the ordered pairs represent a linear function, an exponential function,

Quadratic Functions and Models Lesson 3.1. Nonlinear Data When the points of the function are plotted, they do not lie in a straight line. This graph.

Objectives Identify quadratic functions and determine whether they have a minimum or maximum. Graph a quadratic function and give its domain and range.

Holt Algebra Curve Fitting with Quadratic Models For a set of ordered pairs with equally spaced x- values, a quadratic function has constant nonzero.

3-2 Relations and Functions

Lesson 4-4 Example Determine the slope of the function y = 5x – 2. Step 1Complete a function table for the equation.

Section 6.5 Graph Square Root and Cube Root Functions.

Identify linear functions and linear equations. Graph linear functions that represent real-world situations. Clear Targets Linear Functions.

Holt Algebra Identifying Quadratic Functions 9-1 Identifying Quadratic Functions Holt Algebra 1 Warm Up Warm Up Lesson Presentation Lesson Presentation.

6-7: Investigating Graphs of Polynomial Functions.

Holt McDougal Algebra Properties of Quadratic Functions in Standard Form This shows that parabolas are symmetric curves. The axis of symmetry is.

Holt McDougal Algebra Exponential Functions 9-2 Exponential Functions Holt Algebra 1 Warm Up Warm Up Lesson Presentation Lesson Presentation Lesson.

Lesson 6-6 Example Example 2 Graph y = 3x + 2 and determine the slope of the line. 1.Complete a function table for the equation.

Chapter 2.  A polynomial function has the form  where are real numbers and n is a nonnegative integer. In other words, a polynomial is the sum of one.

7-8 Curve Fitting with Exponential and Logarithmic Models Warm Up

Lesson 12-2 Exponential & Logarithmic Functions

Do Now Pass out calculators. You have about 10 minutes to work on your EOC Packet.

9-1 Quadratic Equations and Functions Warm Up Warm Up Lesson Presentation Lesson Presentation California Standards California StandardsPreview.

Identifying Quadratic Functions. The function y = x 2 is shown in the graph. Notice that the graph is not linear. This function is a quadratic function.

2-8 curve fitting with quadratic models.  Three distinct positive integers have a sum of 15 and a product of 45.What is the largest of these integers?

I was on the second day of a road trip when I decided to keep a record of how far I had traveled from home. The table below shows how many hours I drove.

Sec 7: Finding the Max/Min of a Quadratic Equation Learning Target: I will calculate the maximum or minimum of a quadratic equation and apply it to real-world.

Algebra 3 Lesson 1.9 Objective: SSBAT identify positive, negative or no correlation. SSBAT calculate the line of best fit using a graphing calculator.

An equation in the form … … can be solved using two methods discussed previously. Solving Equations Containing Trinomials 1.Factoring Method 2.Graphing.

Basic Properties of Functions. Things I need you to know about functions How to do basic substitution and recognize points How to graph a function. Sometimes.

Essential Questions: When and how do you solve a system of equations using the substitution method? When and how do you solve a system of equations using.

SWBAT…analyze the characteristics of the graphs of quadratic functions Wed, 2/15 Agenda 1. WU (10 min) 2. Characteristics of quadratic equations (35 min)

Curve Fitting with Polynomial Models Essential Questions

Objectives Use finite differences to determine the degree of a polynomial that will fit a given set of data. Use technology to find polynomial models for.

Holt McDougal Algebra Curve Fitting with Exponential and Logarithmic Models 4-8 Curve Fitting with Exponential and Logarithmic Models Holt Algebra.

Learning Task/Big Idea: Students will learn how to graph quadratic equations by binding the vertex and whether the parabola opens up or down.

Graphs of Quadratics Let’s start by graphing the parent quadratic function y = x 2.

5-8 Curve Fitting with Quadratic Models Warm Up Lesson Presentation

ALGEBRA 2 5.8: Curve Fitting With Quadratic Models

Holt Algebra Exponential Functions Evaluate exponential functions. Identify and graph exponential functions. Objectives Exponential function Vocabulary.

Holt McDougal Algebra Solving Quadratic Inequalities Solve quadratic inequalities by using tables and graphs. Solve quadratic inequalities by using.

Section 9.3 Measures of Regression and Prediction Intervals.

Curve Fitting with Polynomial Models Essential Questions

P REVIEW TO 6.7: G RAPHS OF P OLYNOMIAL. Identify the leading coefficient, degree, and end behavior. Example 1: Determining End Behavior of Polynomial.

Holt McDougal Algebra 2 Curve Fitting with Exponential and Logarithmic Models Curve Fitting with Exponential and Logarithmic Models Holt Algebra 2Holt.

Holt Algebra Linear, Quadratic, and Exponential Models Warm Up Find the slope and y-intercept of the line that passes through (4, 20) and (20, 24).

Section 1-1: Relations and Functions *Relation: *Domain: *Range: *Function: Example 1: State the domain and range of each relation. Then state whether.

Section 4.2.  Label the quadrants on the graphic organizer  Identify the x-coordinate in the point (-5, -7)

1.What is the vertex for: 2.Describe the transformation: 3.What is the vertex for: Warm up Reflect, stretch 2, left 4, up 1.

1 The graph represents a function because each domain value (x-value) is paired with exactly one range value (y-value). Notice that the graph is a straight.

UNIT 5 REVIEW. “MUST HAVE" NOTES!!!. You can also graph quadratic functions by applying transformations to the parent function f(x) = x 2. Transforming.

Holt McDougal Algebra 1 Relations and Functions GSE Algebra 1 Unit 2B D1 Identifying Functions Essential Questions How can I identify functions from various.

Objectives Identify quadratic functions and determine whether they have a minimum or maximum. Graph a quadratic function and give its domain and range.

Identifying Quadratic Functions. The function y = x 2 is shown in the graph. Notice that the graph is not linear. This function is a quadratic function.

Lesson 8-1 :Identifying Quadratic Functions Lesson 8-2 Characteristics of Quadratic Functions Obj: The student will be able to 1) Identify quadratic functions.

2.1 Tangents & Velocities.

Warm-Up Math Social Studies P.E. Women Men 2 10

Identifying quadratic functions

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

Warm Up 1. Evaluate x2 + 5x for x = 4 and x = –3. 36; –6

Objectives Use quadratic functions to model data.

Solve each quadratic using whatever method you choose!

Presentation transcript:

Curve Fitting with Quadratic Models Section 2.8

Quadratic Models O Can use differences of y-values to determine if ordered pairs represent quadratic functions O Must be constant nonzero second differences O x-values have to be equally spaced O EX: Determine whether each data set could represent a quadratic function. Explain. O 1) O 2) x13579 y x34567 y392781

Quadratic Models

O Quadratic Model: O Quadratic function that represents real data set O Quadratic regression (graphing calculator) O EX: The table shows the cost of circular plastic wading pools based on the pools’ diameter. Find a quadratic model for the cost of a pool, given its diameter. Use the model to estimate the cost of a pool with a diameter of 8 ft. Diameter (ft)Cost 4$ $ $ $34.95

Quadratic Models O Closure: p121 Think & Discuss O HW: p #12-38even, 39-51