Chapter 6-1 Graphing Quadratic Functions. Which of the following are quadratic functions?

Slides:



Advertisements
Similar presentations
5.1 Modeling Data with Quadratic Functions 1.Quadratic Functions and Their Graphs.
Advertisements

Essential Question: How do you determine whether a quadratic function has a maximum or minimum and how do you find it?
Solving Quadratic Equation by Graphing
Quadratic Functions Objectives: Graph a Quadratic Function using Transformations Identify the Vertex and Axis of Symmetry of a Quadratic Function Graph.
Lesson 9-2 Graphing y = ax + bx + c Objective: To graph equations of the form f(x) = ax + bx + c and interpret these graphs. 2 2.
9-1 Graphing Quadratic Functions
Topics: Standard and Vertex form of a Quadratic Function Finding Key Features of a Quadratic algebraically and graphically. Graphing Quadratics.
REVIEW FOR QUIZ ALGEBRA 1 CP MS. BATTAGLIA & MR. BALDINO.
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.
Graphing Quadratic Equations
Graphing Quadratic Functions (2.1.1) October 1st, 2015.
2.3 Quadratic Functions. A quadratic function is a function of the form:
Characteristics of Quadratics
7-3 Graphing quadratic functions
Unit 2 – Quadratic, Polynomial, and Radical Equations and Inequalities Chapter 5 – Quadratic Functions and Inequalities 5.1 – Graphing Quadratic Functions.
Chapter 9.1 Notes. Quadratic Function – An equation of the form ax 2 + bx + c, where a is not equal to 0. Parabola – The graph of a quadratic function.
Y = x 2 – 4x – 5 xy Vertex? Max or Min? Axis of Symmetry? Do Now 1)
6-1 Graphing Quadratic Functions
Graphing Quadratic Equations Lesson Graphing Quadratic Equations: Standard Form of a Quadratic Equation  Standard form- any function that can.
XY A.O.S.: Vertex: Max. or Min.? X – Intercepts Y – Intercepts.
Chapter 10 Sec 1 Graphing Quadratic Functions. 2 of 12 Algebra 1 Chapter 10 Sections 1 1.Find a =, b =, c =. 2.Find y intercept = (0, c). 3.Find Axis.
9.1 – Graphing Quadratic Functions. Ex. 1 Use a table of values to graph the following functions. a. y = 2x 2 – 4x – 5.
Unit 9 Review Find the equation of the axis of symmetry, along with the coordinates of the vertex of the graph and the y-intercept, for the following equation.
6.1 Graphing Quadratic Functions in Standard Form.
Unit 3-1: Graphing Quadratic Functions Learning Target: I will graph a quadratic equation and label its key features.
9-3 Graphing y = ax + bx + c 2 1a. y = x - 1 for -3
Quadratic Functions Solving by Graphing Quadratic Function Standard Form: f(x) = ax 2 + bx + c.
Warm UP Xy graph quadratics Objective: To graph quadratic functions. Where do you find these functions?
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.
Big Idea: -Graph quadratic functions. -Demonstrate and explain the effect that changing a coefficient has on the graph. 5-2 Properties of Parabolas.
CHAPTER 10 LESSON OBJECTIVES. Objectives 10.1 Students will be able to: Identify quadratic functions and determine whether they have a minimum or maximum.
Unit 1B Quadratics Day 2. Graphing a Quadratic Function EQ: How do we graph a quadratic function in standard form? M2 Unit 1B: Day 2 Lesson 3.1A.
Do Now: Solve the equation in the complex number system.
5-1 Graphing Quadratic Functions Algebra II CP. Vocabulary Quadratic function Quadratic term Linear term Constant term Parabola Axis of symmetry Vertex.
Quadratic Functions. 1. The graph of a quadratic function is given. Choose which function would give you this graph:
How does the value of a affect the graphs?
Do Now: Solve the equation in the complex number system.
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)
Graphing Quadratic Functions. The graph of any Quadratic Function is a Parabola To graph a quadratic Function always find the following: y-intercept.
Bellwork  Identify the domain and range of the following quadratic functions
Chapter 5 Lesson 1 Graphing Quadratic Functions Vocabulary Quadratic Function- A function described by f(x)=ax 2 +bx+c where a≠0 Quadratic Term- ax 2.
Key Components for Graphing a Quadratic Function.
GRAPH QUADRATIC FUNCTIONS. FIND AND INTERPRET THE MAXIMUM AND MINIMUM VALUES OF A QUADRATIC FUNCTION. 5.1 Graphing Quadratic Functions.
Do Now Find the value of y when x = -1, 0, and 2. y = x2 + 3x – 2
Solving Quadratic Equation by Graphing
Quadratic Equations Chapter 5.
Chapter 4: Quadratic Functions and Equations
2-5 Absolute Value Functions and Graphs
Chapter 2: Functions, Equations, and Graphs
Using the Vertex Form of Quadratic Equations
Solving Quadratic Equation and Graphing
$$$ DEAL OR NO DEAL $$$.
Quadratic Functions.
CHAPTER 6 SECTION 1 GRAPHING QUADRATIC FUNCTIONS
3.1 Quadratic Functions and Models
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.
Review: Simplify.
Creating & Graphing Quadratic Functions Using Standard Form (3.3.1)
Quadratic Functions in the Form y = a(x – h)2 + k
3.1 Quadratic Functions and Models
Unit 9 Review.
Graphing Quadratic Functions
Obj: graph parabolas in two forms
Analysis of Absolute Value Functions Date:______________________
Graphs of Quadratic Functions
Warm Up.
Graphing Quadratic Functions
Quadratic Functions Chapter 5.
Honors Algebra 2 Chapter 4
Presentation transcript:

Chapter 6-1 Graphing Quadratic Functions

Which of the following are quadratic functions?

Let’s review the graph of a quadratic function and what we know about it vertex y-intercept Equation for axis of symmetry x-coordinate of the vertex Open up or open down? Max or Min

State whether the graph of each quadratic function opens up or down and also if it has a max or min

For the quadratic function f(x)=x²+2x Find the y-intercept Find the equation for the axis of symmetry Find the x-coordinate of the vertex Make a table of values that includes the vertex Graph the quadratic function Go to graph

Graph of f(x)=x²+2x x f(x)3003 Back

Finding Max or Min without graph Write a, b, and c for the quadratic function Find the x-coordinate for the vertex Plug this value into the function If graph opens up, result is minimum If graph opens down, result is maximum

Determine whether each function has a max or min value. Then determine the value of the max or min.

Homework P290 # 2, 3c, 3d P291 # 14, 18, 20, 26 # 32, 34, 36