Notes 3.3 Quadratic Functions

Slides:

Advertisements

Similar presentations

Vocabulary axis of symmetry standard form minimum value maximum value.

Advertisements

5.2 Properties of Parabolas

By: Silvio, Jacob, and Sam.  Linear Function- a function defined by f(x)=mx+b  Quadratic Function-a function defined by f(x)=ax^2 + bx+c  Parabola-

2.1 Quadratic Functions Completing the square Write Quadratic in Vertex form.

Activity 4.2 The Shot Put.

Graphing Quadratic Functions Algebra II 3.1. TERMDefinitionEquation Parent Function Quadratic Function Vertex Axis of Symmetry y-intercept Maximum Minimum.

Quadratic Functions Objectives: Graph a Quadratic Function using Transformations Identify the Vertex and Axis of Symmetry of a Quadratic Function Graph.

9-1 Graphing Quadratic Functions

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

9.4 Graphing Quadratics Three Forms

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.

Quadratic Functions. How Parabolas Open A parabola will open upward if the value of a in your equations is positive-this type of parabola will have.

6.1 Graphing Quadratic Functions Parabola Axis of symmetry Vertex.

What information can we visually determine from this Quadratic Graph? Vertex Vertical Stretch Factor (4, -3) Over 1, up 1 Over 2, up 4 Normal Pattern.

The Vertex of a Parabola Finding the Maximum or Minimum.

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

2.1 – Quadratic Functions.

Graphing quadratic functions (Section 5.1. Forms of the quadratic function  Standard form  Vertex form  Intercept form.

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.

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:

Parabolas Because you need them, for physics and stuff.

Factor each polynomial.

5-2 Properties of Parabolas

f(x) = x2 Let’s review the basic graph of f(x) = x2 x f(x) = x2 -3 9

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. __; ___

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

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

3.3 Quadratic Functions Quadratic Function: 2nd degree polynomial

4.2 a Standard Form of a Quadratic Function

2-5 Absolute Value Functions and Graphs

Chapter 2: Functions, Equations, and Graphs

Quadratic Functions Extreme Values and Graphs

Graphing Quadratics in Standard Form

Quadratic Functions.

3.1 Quadratic Functions and Models

Before: March 15, 2018 Tell whether the graph of each quadratic function opens upward or downward. Explain. y = 7x² - 4x x – 3x² + y = 5 y = -2/3x².

Graphing Quadratic Functions (2.1.1)

Warm Up Let’s find the vertex of the following quadratic equation and state whether it is a maximum point or minimum point.

Section 9.1 Day 4 Graphing Quadratic Functions

Review: Simplify.

Creating & Graphing Quadratic Functions Using Standard Form (3.3.1)

Warm-up: Sketch y = 3|x – 1| – 2

I can write the equation of a

Objectives Find the zeros of a quadratic function from its graph.

Quadratic Functions in the Form y = a(x – h)2 + k

Some Common Functions and their Graphs – Quadratic Functions

3.1 Quadratic Functions and Models

Identify Quadratic Functions.

Modelling Quadratic Functions

Quadratic Functions: f(x) = a(x – h)2

Quadratic Equation Day 4

Warm up Graph the Function using a table Use x values -1,0,1,2,3

Quadratic Functions and Their Properties

QUADRATIC FUNCTION PARABOLA.

Notes Over 5.8 Writing a Quadratic Function in Vertex Form

Warm Up Determine whether the function is increasing, decreasing, or constant. Explain your answer. Graph the function x y Determine if.

f(x) = x2 Let’s review the basic graph of f(x) = x2 x f(x) = x2 -3 9

Determine if each is a quadratic equation or not.

Quadratic Functions and Equations Lesson 1: Graphing Quadratic Functions.

QUADRATIC FUNCTION Given a Function y = 2x2 -6x -8 in domain

Presentation transcript:

Notes 3.3 Quadratic Functions LEQ: What are the parts of a Quadratic Function needed to create an accurate graph? Notes 3.3 Quadratic Functions Warm-up Give an example of a quadratic function the opens downward.

Quadratic Function Graphs Parabolas Open upward (+a) or downward (-a) Vertex is an absolute minimum or maximum Has exactly 1 y-intercept Has 0, 1, or 2 x-intercepts (quadratic formula) Is symmetric about a line through the vertex called the axis of symmetry.

Three Forms of Quadratic Functions Transformation form: Polynomial form: X-Intercept form: LEQ: What are the parts of a Quadratic Function needed to create an accurate graph?

Transformation Form Transformation form: Vertex: X-intercepts: Y-intercepts: LEQ: What are the parts of a Quadratic Function needed to create an accurate graph?

Polynomial Form Transformation form: Vertex: X-intercepts: Y-intercepts: LEQ: What are the parts of a Quadratic Function needed to create an accurate graph?

X-Intercept Form Transformation form: Vertex: X-intercepts: Y-intercepts: LEQ: What are the parts of a Quadratic Function needed to create an accurate graph?

Examples: Find the vertex & intercepts. Graph. LEQ: What are the parts of a Quadratic Function needed to create an accurate graph?

Examples: Find the vertex & intercepts. Graph. LEQ: What are the parts of a Quadratic Function needed to create an accurate graph?

Examples: Find the vertex & intercepts. Graph. LEQ: What are the parts of a Quadratic Function needed to create an accurate graph?

Homework: Pages 170-171 #2-20 even Practice: Page 170-171 #1,5,9 Homework: Pages 170-171 #2-20 even LEQ: What are the parts of a Quadratic Function needed to create an accurate graph?