Section 5.1 Modeling Data with Quadratic Functions Objective: Students will be able to identify quadratic functions and graphs, and to model data with.

Slides:

Advertisements

Similar presentations

5.1 Modeling Data with Quadratic Functions. Quadratic Function: f(x) = ax 2 + bx + c a cannot = 0.

Advertisements

Algebra II w/ trig 4.1 Quadratic Functions and Transformations

5.1 Modeling Data with Quadratic Functions 1.Quadratic Functions and Their Graphs.

Section 4.1: Vertex Form LEARNING TARGET: I WILL GRAPH A PARABOLA USING VERTEX FORM.

 Quadratic function ◦ A function that can be written in the standard form ◦ ax 2 +bx+c ◦ a is never “0” ◦ Domain of the function is all real numbers.

9-1 Graphing Quadratic Functions

3. Graph Quadratic Functions in Standard Form 3.1 Graph Quadratic Functions in Standard Form WEDNESDAY JAN 26 TH p. 56.

9.1: GRAPHING QUADRATICS ALGEBRA 1. OBJECTIVES I will be able to graph quadratics: Given in Standard Form Given in Vertex Form Given in Intercept Form.

5.1 Modeling Data with Quadratic Functions Quadratic function: a function that can be written in the standard form of f(x) = ax 2 + bx + c where a does.

Graphing Quadratic Equations

5-1: MODELING DATA WITH QUADRATIC FUNCTIONS Essential Question: Describe the shape of the graph of a quadratic function and basic properties of the graph.

6.1 Graphing Quadratic Functions Parabola Axis of symmetry Vertex.

Graphing Quadratic Functions (2.1.1) October 1st, 2015.

Sketching a Quadratic Graph Students will use equation to find the axis of symmetry, the coordinates of points at which the curve intersects the x-axis,

5-1 Modeling Data With Quadratic Functions Big Idea: -Graph quadratic functions and determine maxima, minima, and zeros of function. -Demonstrate and explain.

Unit 2 – Quadratic, Polynomial, and Radical Equations and Inequalities Chapter 5 – Quadratic Functions and Inequalities 5.1 – Graphing Quadratic Functions.

2.1 – Quadratic Functions.

Modeling Data With Quadratic Functions

4.1 Quadratic Functions and Transformations A parabola is the graph of a quadratic function, which you can write in the form f(x) = ax 2 + bx + c, where.

Unit 3-1: Graphing Quadratic Functions Learning Target: I will graph a quadratic equation and label its key features.

WARM UP What is the x-coordinate of the vertex? 1.y = -2x 2 + 8x – 5 2.y = x 2 + 3x -2 4.

Graphing quadratic functions part 2. X Y I y = 3x² - 6x + 2 You have to find the vertex before you can graph this function Use the formula -b 2a a = 3.

Objective: Students will be able to 1)Find the axis of symmetry 2)Find the vertex 3)Graph a quadratic formula using a table of values.

CHAPTER 10 LESSON OBJECTIVES. Objectives 10.1 Students will be able to: Identify quadratic functions and determine whether they have a minimum or maximum.

Quadratic Functions. 1. The graph of a quadratic function is given. Choose which function would give you this graph:

Warm – up #7  Closed x = –2  Open x = –2 xy –2 –3 – –2 –

4.2 Standard Form of a Quadratic Function The standard form of a quadratic function is f(x) = ax² + bx + c, where a ≠ 0. For any quadratic function f(x)

Class Greeting. Chapter 10 Quadratic Equations and Functions Lesson 10-4 Graphing Quadratic Equations.

Warm-up: 1. Graph y = -4x – 3 2. Find f(3) when f(x) = 3x + 2.

Bellwork  Identify the domain and range of the following quadratic functions

 I will be able to identify and graph quadratic functions. Algebra 2 Foundations, pg 204.

Graphing Quadratic Functions in Standard Form 5.1 Algebra II.

Determine if each is a quadratic equation or not.

Do Now Find the value of y when x = -1, 0, and 2. y = x2 + 3x – 2

5-2 Properties of Parabolas

Algebra Lesson 10-2: Graph y = ax2 + bx + c

Do-Now What is the general form of an absolute value function?

Warm Up /05/17 1. Evaluate x2 + 5x for x = -4 and x = 3. __; ___

Algebra I Section 9.3 Graph Quadratic Functions

Warm Up /31/17 1. Evaluate x2 + 5x for x = 4 and x = –3. __; ___

Quadratic Functions and Their Properties

Chapter 4: Quadratic Functions and Equations

4.2 a Standard Form of a Quadratic Function

Notes 3.3 Quadratic Functions

4.1 Quadratic Functions and Transformations

6.2 Solving Quadratic Equations by Graphing

Quadratic Functions Extreme Values and Graphs

Graphing Quadratic Functions

Quadratic Functions Unit 9 Lesson 2.

Quadratic Functions.

Graph Quadratic Functions in Standard Form

Warm up 1) Graph.

Graph Quadratic Functions in Standard Form

3.1 Quadratic Functions and Models

Graphing Quadratic Functions (2.1.1)

Graph Quadratic Equations in Standard form

Characteristics of Quadratic functions

Section 9.1 Day 4 Graphing Quadratic Functions

Review: Simplify.

Graphs of Quadratic Functions

Graphing Quadratic Functions

3.1 Quadratic Functions and Models

Graphing Quadratic Functions

Obj: graph parabolas in two forms

Section 10.2 “Graph y = ax² + bx + c”

Solving Quadratic Equations by Graphing

Quadratic Functions and Modeling

Quadratic Functions and Their Properties

Determine if each is a quadratic equation or not.

Presentation transcript:

Section 5.1 Modeling Data with Quadratic Functions Objective: Students will be able to identify quadratic functions and graphs, and to model data with quadratic functions. Warm up Definition of Quadratic Function Classifying Functions Def. of Axis of Symmetry and Vertex of a Parabola Example Homework

Axis of Symmetry and Vertex of a Parabola The graph of a Quadratic function is a Parabola. The Axis of Symmetry is the line that divides a parabola into two parts that are mirror images. The Vertex of a Parabola is the point at which the parabola intersects the axis of symmetry. The y-value of the vertex of a parabola represents the maximum or minimum value of the function.

5.1 Homework Page 237: 1-5 odd, 11, 12, 19