12-4 Quadratic Functions CA Standards 21.0 and 22.0 CA Standards 21.0 and 22.0 Graph quadratic functions; know that their roots are the x-intercepts; use.

Slides:

Advertisements

Similar presentations

Vocabulary axis of symmetry standard form minimum value maximum value.

Advertisements

Quadratic Functions, Quadratic Expressions, Quadratic Equations

Solving Quadratic Equations by Graphing

Solving Quadratic Equation by Graphing Section 6.1.

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

Quadratic Equations Algebra I. Vocabulary Solutions – Called roots, zeros or x intercepts. The point(s) where the parabola crosses the x axis. Minimum.

Solving Quadratic Equation by Graphing

1. Determine if f(x) has a minimum or maximum 2. Find the y-intercept of f(x) 3. Find the equation of the axis of symmetry of f(x) 4. Find the vertex of.

Properties of Quadratics Chapter 3. Martin-Gay, Developmental Mathematics 2 Introduction of Quadratic Relationships  The graph of a quadratic is called.

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

Topics: Standard and Vertex form of a Quadratic Function Finding Key Features of a Quadratic algebraically and graphically. Graphing Quadratics.

Definitions 4/23/2017 Quadratic Equation in standard form is viewed as, ax2 + bx + c = 0, where a ≠ 0 Parabola is a u-shaped graph.

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.

Solving Quadratic Equations by Graphing Quadratic Equation y = ax 2 + bx + c ax 2 is the quadratic term. bx is the linear term. c is the constant term.

Learning Task/Big Idea: Students will learn how to find roots(x-intercepts) of a quadratic function and use the roots to graph the parabola.

Objectives Vocabulary zero of a function axis of symmetry

Solving Quadratic Equations

Vertex Form November 10, 2014 Page in Notes.

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

2.3 Quadratic Functions. A quadratic function is a function of the form:

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,

Characteristics of Quadratics

 Objectives: Solve quadratic equations that cannot be factored by completing the square  Vocabulary: Perfect Square Trinomial- A trinomial of the form.

Section 2.1 Complex Numbers. The Imaginary Unit i.

THE SLIDES ARE TIMED! KEEP WORKING! YOUR WORK IS YOUR OWN! Quadratic Systems Activity You completed one in class… complete two more for homework.

Quadratic Functions Algebra III, Sec. 2.1 Objective You will learn how to sketch and analyze graph of functions.

Solving Quadratic Equations by Graphing 4 Lesson 10.2.

QUADRATIC FUNCTIONS IN STANDARD FORM 4.1B. Review  A quadratic function can be written in the form y = ax 2 + bx + c.  The graph is a smooth curve called.

Chapter 5.2/Day 3 Solving Quadratic Functions by Graphing Target Goal: 1. Solve quadratic equations by graphing.

Vocabulary of a Quadratic Function Vacation… November 30, 2015.

Fri 12/11 Lesson 4 – 1 Learning Objective: To graph quadratic functions Hw: Graphing Parabolas Day 1 WS.

Warm Up Important Properties: 1.The graph will open up if ‘a’ ___ 0 and down if ‘a’ ___ 0 3.The vertex formula for: vertex format is: standard format is:

1 Solving Quadratic Equations 1Shaw 2008 February 16, 2010.

Lesson: Objectives: 5.1 Solving Quadratic Equations - Graphing  DESCRIBE the Elements of the GRAPH of a Quadratic Equation  DETERMINE a Standard Approach.

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.

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

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?

Solving Quadratic Equation by Graphing Students will be able to graph quadratic functions.

Graphing Quadratics in Vertex and Intercept Form Vertex Form y = a(x – h) 2 + k Intercept Form y = a(x – p)(x – q)

Warm up… You’ll need to pick up the worksheet up front. Remember how we used the calculator on Friday. Need to graph the vertex along with four other.

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.

10.3 Solving Quadratic Equations – Solving Quadratic Eq. Goals / “I can…”  Solve quadratic equations by graphing  Solve quadratic equations using.

2.1 Quadratic Functions Standard form Applications.

Solving Quadratic Equations by Graphing  Quadratic Equation- A quadratic function set equal to a value, in the form ax 2 +bx+c, where a≠0  Standard.

Solving Quadratic Equations by Graphing Need Graph Paper!!! Objective: 1)To write functions in quadratic form 2)To graph quadratic functions 3)To solve.

Algebra 1 EOC Summer School Lesson 12: Draw Conclusions from Quadratic Graphs.

Factor each polynomial.

Solving Quadratic Equation by Graphing

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

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

Solving Quadratic Equation and Graphing

Y Label each of the components of the parabola A: ________________ B: ________________ C: ________________ C B B 1 2.

Solving a Quadratic Equation by Graphing

Completing the square means writing the unknown terms of a quadratic in a square bracket Example because Application To find the maximum or minimum value.

9-1 Exploring Quadratic Graphs

9.1 Graphing Quadratic Functions

Quadratic Functions.

lesson 9.1 I CAN identify parts of a parabola.

Graphing Quadratic Functions (2.1.1)

Section 9.1 Day 4 Graphing Quadratic Functions

Solving Quadratic Equation

# in group Cost per person Total $ 16 20 24 28 32 36 40 44 48 50 52 56 60.

Algebra 2 – Chapter 6 Review

Quadratic Equation Day 4

Presentation transcript:

12-4 Quadratic Functions CA Standards 21.0 and 22.0 CA Standards 21.0 and 22.0 Graph quadratic functions; know that their roots are the x-intercepts; use factoring to find x-intercepts Graph quadratic functions; know that their roots are the x-intercepts; use factoring to find x-intercepts

Vocabulary Parabola A curved 2 nd degree function.

Vocabulary Vertex The maximum or minimum point of a parabola.

#1 Graph the Following Quadratic Function x y

Vocabulary x-intercepts The point(s) at which the graph crosses the x-axis; when solving algebraically, set the range equal to 0.

#2 Find the x-intercepts of the Parabola x y

Vocabulary Axis of Symmetry The fold of the graph so the two sides of the parabola coincide.

#3 Find the Axis of Symmetry of the parabola x y

#4 Graph the Following Quadratic Function x y

#5 Find the x-intercepts of the function