Today’s Objectives:. Warm Up a)Find the y-intercept, the axis of symmetry, and the vertex b)Make a table c)Graph the function d)State whether the function.

Slides:

Advertisements

Similar presentations

Completing the Square and the Quadratic Formula

Advertisements

Factor and Solve Quadratic Equations

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

Name:__________ warm-up 9-1 Factor a 2 – 5a + 9, if possibleFactor 6z 2 – z – 1, if possible Solve 5x 2 = 125Solve 2x x – 21 = 0.

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

2-3 solving quadratic equations by graphing and factoring

Algebra 2 Honors Quadratic Functions.

Solving Quadratics by Completing the Square, continued Holt Chapter 5 Section 4.

Exponents Properties. Warm Up Solve the following equations: 3 = 3x + 1 6x + 7 = 61 5a – 34 = -9.

Warm Up a)Find the y-intercept, the axis, and the vertex b)Make a table c)Graph the function d)State whether the function has a minimum or maximum e)Find.

11.1 – The Greatest Common Factor (GCF)

Algebra 10.8 Factoring Completely.

Objectives Solve quadratic equations by graphing or factoring.

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.

 Given the function y = x 2, copy and complete the table below for the values of this function. Then sketch these points on a coordinate plane. WARM UP.

Warm Up 1.) What is the simplified form of –x2(2x3 + 5x2 + 6x)?

Quadratics Review Day 1. Multiplying Binomials Identify key features of a parabola Describe transformations of quadratic functions Objectives FOILFactored.

Do Now 3/2/10  Take out HW from last night. Greatest Common Factor worksheet #34 Greatest Common Factor worksheet #34  Copy HW in your planner. Text.

Factoring…Taking Polynomials apart Name____________________________ Period________ Prime Factoring What are Prime numbers?_______________________ List.

Factoring and Finding Roots of Polynomials

Factoring and Solving Polynomial Equations (Day 1)

Factoring. Warm Up Multiply: Objective The student will be able to factor by distribution, grouping and factor trinomials.

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

Algebra 2: Unit 5 Continued

7-3 Graphing quadratic functions

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

Lesson 10.5 Factoring Objective: To factor a quadratic trinomial of the form Factoring a trinomial is the opposite of multiplying two binomials. Example:

Warm-up ( ) 1. Multiply with FOIL (2x – 4)(6x – 2) 2. Given y = -2(x – 4) 2 + 5, then find a.Vertex Point? b.AOS? c.y-intercept? d.Opening Direction?

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

Warm Up. y = 8x 2 – 16x -10 = roots a = 8, b = – 16, c = -10 Axis of symmetry = -b 2a x = -(-16) 2(8) = 1 y = 8(1) 2 – 16(1) -10 = -18 Vertex= minimum.

Warm- Up February 26 What is the vertex, axis of symmetry, max./min, y-intercept, and direction of opening of the following y = -2x2 – 8x – 3. 2.

Graphing Quadratic Equations Lesson Graphing Quadratic Equations: Standard Form of a Quadratic Equation  Standard form- any function that can.

Warm up Simplify. Factoring #1 GCF Factoring is the opposite of the distributive property. We are going to undo multiplication. Let’s try it!

 Standard Form  y = ax 2 + bx + c, where a ≠ 0  Examples › y = 3x 2 › y = x › y = x 2 – x – 2 › y = - x 2 + 2x - 4.

Factoring Polynomials. 1.Check for GCF 2.Find the GCF of all terms 3.Divide each term by GCF 4.The GCF out front 5.Remainder in parentheses Greatest Common.

Bell Work3/23/2015 Simplify. Polynomials 1/31/2016 Heading Today we will find the degree and classify polynomials in Standard Form. Also identify the.

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.

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

Warm Up. 4.3 Solve by Factoring Find this in your notes!

Quadratic Functions Solving by Graphing Quadratic Function Standard Form: f(x) = ax 2 + bx + c.

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 Equations A-REI.4 Solve quadratic equations in one variable. Solve quadratic equations by inspection (e.g., for x 2 = 49), taking square roots,

Given find the following a) Vertex b) Axis of Symmetry c) Y-intercept

Warm Up. Factoring Using the distributive Property.

UNIT 1: QUADRATICS Final Exam Review. TOPICS TO COVER  GCF  Factoring  Solving Quadratic Equations  Graphing Quadratic Equations  Projectile Motion.

Objective  SWBAT solve polynomial equations. Section 9.4 “Solve Polynomial Equations in Factored Form” If ab = 0, then a = 0 or b = 0. The zero-product.

Warm-Up 1. Find the -Vertex -Y-Intercept -X-intercepts 2. Graph 3. Factor.

Graphing Quadratic Functions Solving by: Factoring

Square Root Method Trinomial Method when a = 1 GCF

Objectives Solve quadratic equations by factoring.

2-3 Solving Equations Using the Distributive Property

8.5 Using the Distributive Property

Chapter 5 – Quadratic Functions and Factoring

Solving Quadratic Equation and Graphing

Warm-up Solve by factoring: 3x2 – 16x – 7 = 5

ALGEBRA REVIEW PROBLEMS

Final Review Day 2 Algebra 1.

Unit 5 Factor Special Products

Warm Up Factor the following quadratic expressions. 4x2 + 32x

Objectives Solve quadratic equations by graphing or factoring.

Warm Up Find the x-intercept of each function. 1. f(x) = –3x + 9 3

7.4 Solving factored polynomials

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

Solving Multiplication Equations

TWO STEP EQUATIONS 1. SOLVE FOR X 2. DO THE ADDITION STEP FIRST

3.4 Solve by Factoring (Part 1)

Quadratic Equation Day 4

5 minutes Warm-Up Solve. 2) 1).

QUADRATIC FUNCTION PARABOLA.

Presentation transcript:

Today’s Objectives:

Warm Up a)Find the y-intercept, the axis of symmetry, and the vertex b)Make a table c)Graph the function d)State whether the function has a minimum or maximum e)Find the value of the min/max f)Find the roots

4.3 Solve by Factoring

Factor A factor is a number that is multiplied with another number to get a product. FACTOR

Factor A factor is a number that is multiplied with another number to get a product.

Greatest Common Factor We’re here!

Greatest Common Factor Find numbers and variables that can be factored out of every term in the expression—"factoring" means "dividing out and putting in front of the parentheses". Nothing "disappears" when you factor; things merely get rearranged.

Greatest Common Factor You will use the GCF to … 1.FACTOR equations, and 2.SOLVE equations We will begin with FACTORING.

Greatest Common Factor

You Try!

Zero Property

Solving with GCF

You Try!!!

Factoring when a=1 We’re here!

Factoring when a=1 Factoring a trinomial is the opposite of FOIL.

Factoring when a=1 1

You Try!

Solving with a=1

Solving when a=1

You Try!

QUICK REVIEW

Ticket Out The Door

Homework 4.3 Worksheet— Day 1 #’s 1-15