Algebra 2 Honors Quadratic Functions.

Slides:



Advertisements
Similar presentations
Completing the Square and the Quadratic Formula
Advertisements

Means writing the unknown terms of a quadratic in a square bracket Completing the square Example 1 This way of writing it is very useful when trying to.
+ Completing the Square. + In your notes: Simplify the following: (5 – 3i)(4 + 2i) 3.
Name:__________ warm-up 9-5 R Use a table of values to graph y = x 2 + 2x – 1. State the domain and range. What are the coordinates of the vertex of the.
16 Days. Two Days  Review - Use FOIL and the Distributive Property to multiply polynomials.
Properties of Graphs of Quadratic Functions
Objectives: To solve quadratic equations using the Quadratic Formula. To determine the number of solutions by using the discriminant.
Solving Quadratics by Completing the Square, continued Holt Chapter 5 Section 4.
JEOPARDY! Graphing Quadratics Graphing Solving using Square Roots Discriminants GO TO FINAL.
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.
9-1 Quadratic Equations and Functions 9-2 Characteristics of Quadratic Functions 9-3 Graphing Quadratic Functions 9-4 Solving Quadratic Equations by Graphing.
Pre calculus Problem of the Day Homework: p eoo, odds Factor the following:
Objectives Solve quadratic equations by completing the square.
Finding the Vertex: Method 2 Complete the Square Vertex is (-3,-5) Divide the number in front of x 2 out of first 2 terms Determine the perfect square.
Solving Quadratics. Methods for Solving Quadratics Graphing Factoring Square Root Method Completing the Square Quadratic Formula.
Algebra II Honors POD Homework: p odds, odds (you must use completing the square), and 77, 83 Find all real solutions for the following:
Today in Pre-Calculus Go over homework Notes: –Quadratic Functions Homework.
Derivation of the Quadratic Formula The following shows how the method of Completing the Square can be used to derive the Quadratic Formula. Start with.
Chapter 6-1 Graphing Quadratic Functions. Which of the following are quadratic functions?
The Quadratic Formula Students will be able to solve quadratic equations by using the quadratic formula.
5.3 Solving Quadratic Functions with Square Roots Step 1: Add or subtract constant to both sides. Step 2: Divide or multiply coefficient of “x” to both.
Solve by factoring. x² = - 4 – 5x 2,. Solve by factoring. n² = -30 – 11n -4 and -1.
1.3 Quadratic Equations College Algebra: Equations and Inequalities.
Completing the Square. Methods for Solving Quadratics Graphing Factoring Completing the Square Quadratic Formula.
5-7: COMPLEX NUMBERS Goal: Understand and use complex numbers.
Chapter 4: Polynomial and Rational Functions. 4-2 Quadratic Equations For a quadratic equation in the form ax 2 + bx + c = 0 The quadratic Formula is.
Sample Problems for Class Review
Parabola Formulas Summary of Day One Findings Horizonal Parabolas (Type 2: Right and Left) Vertical Parabolas (Type 1: Up and Down) Vertex Form Vertex:
Fri 12/11 Lesson 4 – 1 Learning Objective: To graph quadratic functions Hw: Graphing Parabolas Day 1 WS.
1 Solving Quadratic Equations 1Shaw 2008 February 16, 2010.
Honors Pre-Calculus Appendix A7 Complex Numbers. Objectives Add, Subtract, Multiply, and Divide Complex Numbers Graph Complex Numbers Solve Quadratic.
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.
Solving Quadratics Algebra 2 Chapter 3 Algebra 2 Chapter 3.
I am able to solve a quadratic equation using complex numbers. I am able to add, subtract, multiply, and divide complex numbers. Solve the equation.
Imaginary Numbers Review Imaginary Numbers Quadratic Forms Converting Standard Form.
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.
Algebra Completing the Square. Solving with Square Roots.
Section 2.5 – Quadratic Equations
Factor each polynomial.
5.4 – Completing the Square
Graphing Quadratic Functions Solving by: Factoring
Section 3.3 Beginning on page 112
Derivation of the Quadratic Formula
Quadratic Equations Chapter 5.
6.2 Solving Quadratic Equations by Graphing
Mrs. Rivas Ch 4 Test Review 1.
(Sections 4-5 pt. 1 & 2, 4-6 pt. 1, 4-7, 4-8 pt. 1 & 2)
Properties of Quadratic Functions in Standard Form 5-1
Use the Quadratic Formula and the Discriminant
Chapter 6.4 Completing the Square Standard & Honors
SECTION 9-3 : SOLVING QUADRATIC EQUATIONS
College Algebra 1.5 Complex Numbers
Final Review Day 2 Algebra 1.
What are the equations of the following lines?
Review Chapter 6 Standard & Honors
MATH CP Algebra II Exploring Quadratic Functions and Inequalities
Section 9.5 Day 1 Solving Quadratic Equations by using the Quadratic Formula Algebra 1.
Quadratic Functions in the Form y = a(x – h)2 + k
Warm Up Linear Relationships Sudoku.
3.4 – The Quadratic Formula
Honors Algebra 2 Chapter 1a Review
Obj: graph parabolas in two forms
Solving Quadratic Equations by Factoring
Algebra 2 – Chapter 6 Review
Warm Up.
L5-7 Objective: Students will be able to solve quadratics by using the quadratic formula.
QUADRATIC FUNCTION PARABOLA.
Topics are Topics are: Imaginary numbers (definition and simplify power of i) Complex numbers Graphing complex numbers. Add / Subtract / Multiply / Divide.
1.6 Solving Quadratic Equations
Presentation transcript:

Algebra 2 Honors Quadratic Functions

Need to Know: Find minimum or maximum value Solve a quadratic equation by: Factoring Completing the Square Quadratic formula Graph a quadratic equation: Identify Vertex (min or max value) “Axis or Line” of Symmetry (LOS) Identify Zeros or Roots Use completing the square

Need to Know: Translate by using coefficients Derive the quadratic formula Determine the type of roots by using the discriminant Find complex roots Add, subtract, multiply, divide, and graph complex numbers

Quadratic Homework Solve by factoring pg. 261, 65 – 73 all Solve by completing the square pg. 287, 47 – 52, 55 – 58 all Solve by quadratic formula pg. 295, 23 – 39 all Using discriminant pg. 296, 56 – 64 all Finding zeros pg. 261, 80 – 88 all Graphing quadratics pg. 253 20 – 37 all Complex numbers pg. 277, 29 – 63 odds