Warmup 9-11 Solve the following equations by factoring. Show work! 1.x 2 + 16x - 80 = 0 2.Solve by using the quadratic formula: 4x 2 - 5x - 2 = 0 3.Solve.

Slides:

Advertisements

Similar presentations

Many quadratic equations can not be solved by factoring. Other techniques are required to solve them. 7.1 – Completing the Square x 2 = 20 5x =

Advertisements

7.1 – Completing the Square

Solving quadratic equations Factorisation Type 1: No constant term Solve x 2 – 6x = 0 x (x – 6) = 0 x = 0 or x – 6 = 0 Solutions: x = 0 or x = 6 Graph.

9.4 – Solving Quadratic Equations By Completing The Square

Algebra 2 Honors Quadratic Functions.

10.1 Graphing Quadratic Functions p. 17. Quadratic Functions Definition: a function described by an equation of the form f(x) = ax 2 + bx + c, where a.

JEOPARDY! Graphing Quadratics Graphing Solving using Square Roots Discriminants GO TO FINAL.

Chapter 5 Quadratic Functions Review. Question 1a Identify the vertex, the axis of symmetry, create a table, then graph. y = x² - 8x + 5.

9-1 Quadratic Equations and Functions 9-2 Characteristics of Quadratic Functions 9-3 Graphing Quadratic Functions 9-4 Solving Quadratic Equations by Graphing.

5.5 Quadratic Formula Warm-up (IN) Learning Objective: To use the quadratic formula to find real roots of quadratic equations and to use the roots to find.

Solving Quadratics. Methods for Solving Quadratics Graphing Factoring Square Root Method Completing the Square Quadratic Formula.

Completing the Square 4-6 Day 1 Today’s Objective: I can use the process of completing the square to solve or rewrite a quadratic equation.

Chapter 10.7 Notes: Solve Quadratic Equations by the Quadratic Formula Goal: You will solve quadratic equations by using the Quadratic Formula.

5.5 – The Quadratic formula Objectives: Use the quadratic formula to find real roots of quadratic equations. Use the roots of a quadratic equation to locate.

Today in Pre-Calculus Go over homework Notes: –Quadratic Functions Homework.

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.

Chapter 10.  Write an equation given the focus and directrix.  Use the distance formula.

4.1 Graph Quadratic Functions in Standard Form

1.) Lesson On Vertex and Axis Of Symmetry (A.O.S.) 2.) Assignment Learning Objectives: Students will be able to find the vertex and A.O.S. of a quadratic.

Lesson Algebra of Quadratic Relations Functions & Trig Santowski.

Warm-up 1.What are the different ways to solve quadratic equation? Solve the following problem by completing the square.

Quadratics Day 2! VERTEX FORM Unit 6 Quadratic Functions Math II.

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

Solve by factoring. x² = - 4 – 5x 2,. Solve by factoring. n² = -30 – 11n -4 and -1.

Completing the Square. Methods for Solving Quadratics Graphing Factoring Completing the Square Quadratic Formula.

Sample Problems for Class Review

Graphing Quadratic Equations a step-by-step guide with practice.

9-3 Graphing y = ax + bx + c 2 1a. y = x - 1 for -3

Section 8.7 More About Quadratic Function Graphs  Completing the Square  Finding Intercepts 8.71.

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.

Solving Quadratics Algebra 2 Chapter 3 Algebra 2 Chapter 3.

Daily Check Give the transformations for each of the following functions? 1)f(x) = (x - 2) )f(x) = -3x 2 3)f(x) = ½ (x+3) 2 Write the equation in.

SAT Problem of the Day. 5.5 The Quadratic Formula 5.5 The Quadratic Formula Objectives: Use the quadratic formula to find real roots of quadratic equations.

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

Factor each polynomial.

Coefficients a, b, and c are coefficients Examples: Find a, b, and c.

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

Solving Quadratic Equations by the Complete the Square Method

Quadratic Equations Chapter 5.

Using the Vertex Form of Quadratic Equations

6.2 Solving Quadratic Equations by Graphing

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

Solve x2 + 2x + 24 = 0 by completing the square.

Solving a Quadratic Equation by Graphing

Quadratic Review Aug. 28 and 29.

E) Quadratic Formula & Discriminant

Warm up 1) Graph.

Quadratics in Vertex Form

What are the equations of the following lines?

Quad Frame Vertex Name: For each equation:

Chapter 9 Review Graphing Quadratic Equations Solve by factoring

Graphing Quadratic Functions

MATH CP Algebra II Exploring Quadratic Functions and Inequalities

The Discriminant CA 22.0, 23.0.

Creating & Graphing Quadratic Functions Using the X-Intercepts (3.3.2)

Graphing Quadratic Equations

Warmup 1) Solve. 0=2

Quadratic Equations.

Chapter 10 Final Exam Review

Bellwork: 2/23/15 1. Graph y = x2 + 4x + 3.

Quadratic Equation Day 4

L5-7 Objective: Students will be able to solve quadratics by using the quadratic formula.

QUADRATIC FUNCTION PARABOLA.

Quad Frame Vertex Name: For each equation:

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

9-3 Graphing y = ax + bx + c up 1a. y = x - 1 for -3<x<3

Presentation transcript:

Warmup 9-11 Solve the following equations by factoring. Show work! 1.x x - 80 = 0 2.Solve by using the quadratic formula: 4x 2 - 5x - 2 = 0 3.Solve by taking the square root: 6x = 167

Geometry Graphing Quadratics in Standard Form with Tables Examples Convert each quadratic into vertex form. Identify the vertex and Axis of Symmetry for each problem. Then graph the quadratic equations by making a table of values. Show work! 1. y = x 2 – 4x + 9 : Vertex Form: _____________ Vertex: ________ A. O S.: ________ 2. y = -x 2 – 12x - 39 Vertex Form: ______________ Vertex: __________ A. O S.: ________ 3.y = 2x x + 11 Vertex Form: ______________ Vertex: __________ A. O S.: ________ X Y X Y X Y

Geometry Graphing Quadratics in Standard Form with Tables Examples Convert each quadratic into vertex form. Identify the vertex and Axis of Symmetry for each problem. Then graph the quadratic equations by making a table of values. Show work! 4. y = -2x x - 23 : Vertex Form: _____________ Vertex: ________ A. O S.: ________ 5. y = 3x x + 69 Vertex Form: ______________ Vertex: __________ A. O S.: ________ 6. y = -4x x Vertex Form: ______________ Vertex: __________ A. O S.: ________ X Y X Y X Y

Geometry Graphing Quadratics in Standard Form with Tables Practice Convert each quadratic into vertex form. Identify the vertex and Axis of Symmetry for each problem. Then graph the quadratic equations by making a table of values. Show work! 1. y = -x 2 – 14x - 40 Vertex Form: _____________ Vertex: ________ A. O S.: ________ 2.y = 2x 2 – 12x + 13 Vertex Form: ______________ Vertex: __________ A. O S.: ________ 3.y = x x + 54 Vertex Form: ______________ Vertex: __________ A. O S.: ________ X Y X Y X Y

Geometry Graphing Quadratics in Standard Form with Tables Practice Convert each quadratic into vertex form. Identify the vertex and Axis of Symmetry for each problem. Then graph the quadratic equations by making a table of values. Show work! 4. y = -2x 2 – 20x - 49 : Vertex Form: _____________ Vertex: ________ A. O S.: ________ 5. y = 3x 2 – 12x + 5 Vertex Form: ______________ Vertex: __________ A. O S.: ________ 6. y = -3x 2 - 6x + 5 Vertex Form: ______________ Vertex: __________ A. O S.: ________ X Y X Y X Y