Warm – up #7  Closed x = –2  Open x = –2 xy –2 –3 –4 1 4 7 –2 –1 0 3 2 1.

Slides:

Advertisements

Similar presentations

How long does a firework

Advertisements

Algebra 2 Honors Quadratic Functions.

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

5.1 Modeling Data with Quadratic Functions Quadratic function: a function that can be written in the standard form of f(x) = ax 2 + bx + c where a does.

Graphing Quadratic Equations

4.1 Notes – Graph Quadratic Functions in Standard Form.

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.

Holt McDougal Algebra Properties of Quadratic Functions in Standard Form Warm Up Give the coordinate of the vertex of each function. 2. f(x) = 2(x.

Warm – up #5. Homework Log Thurs 11/5 Lesson 3 – 3 Learning Objective: To find composite functions Hw: #306 Pg. 186 #46 – 64 even, Pg.192 #1 – 7 odd.

Warm – up #1 xy V( 0 2). Homework Log Wed 11/18 Lesson 4 – 1 Learning Objective: To graph circles Hw: #402 Pg. 220 #9, 10, 14 – 36 even,

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

Warm–up #2. Warm–up #2 Solutions y x │ –2 – 1 │ │ –1 – 1 │ │ 0 – 1 │ │ 1 – 1 │ │ 2 – 1 │ –2 – x │ y – 1 │ y.

Warm – up #6. Homework Log Fri 11/6 Lesson 3 – 4 Learning Objective: To write equations in standard form & graph piecewise functions Hw: #307 Pg. 192.

Warm–up #3. Warm–up #3 Solutions Homework Log Tues 11/3 Lesson 3 – 2 Learning Objective: To find difference quotients & to graph functions Hw: #304 Pg.

1.2. Lesson 5.1& 5.2, Quadratics Most Missed on Test Solve the system: 3. ANSWER The length of a rectangle is 7.8 cm More than 4 times the width. Perimeter.

Warm–up #3 1. Simplify 3 −8

Homework Log Tues 11/17 Lesson 4 – 1 Learning Objective: To find difference quotients & to graph functions Hw: #401 Pg. 220 #1 – 8 all, 37 – 49 odd.

Warm – up # 5 C (0, –1) V (0, 2) V (0, –4) F (0, 4) F (0, –6)

Warm – up #8. Homework Log Mon 12/7 Lesson 4 – 7 Learning Objective: To identify conics Hw: #410 Pg , 4, 16, 18, 22, 26 Find foci on all.

Graphing Quadratic Functions A quadratic function is an equation of the form: y = ax 2 + bx + c.

Wed 12/16 Lesson 4 – 1 Learning Objective: To remember everything about graphing Parabolas! Hw: Graphing Parabolas Day 4 WS.

Warm–up #9. Solve by Factoring 2 #s that mult to 56 –15 & add to –8 –7 set each factor = 0 Common factor first Make = 0!!!

Homework Log Tues 12/1 Lesson 4 – 5 Learning Objective: To graph translation of ellipses and hyperbolas Hw: #406 Pg. 247 #1, 3, 9, 13, 19, odd.

Warm – up #2. Homework Log Thurs 11/19 Lesson 4 – 2 Learning Objective: To determine symmetry & graph by translation Hw: #403 Pg. 228 #1 – 35 odd.

Warm–up #3. Warm–up #3 Solutions –1 5 Warm–up #3 Solutions –5 1.

9.1 – Graphing Quadratic Functions. Ex. 1 Use a table of values to graph the following functions. a. y = 2x 2 – 4x – 5.

Warm – up #3 1. Test for Symmetry: xy = 4 y–axis(–x)(y) = 4 NO! x–axis(x)(–y) = 4 NO! Origin(–x)(–y) = 4 YES! So it’s symmetric about the origin  –xy.

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

Warm – up #2 Find the remainder when P(x) is divided by x – c.

Homework Log Mon 12/14 Lesson 5 – 1 Learning Objective: To divide polynomials using long division & synthetic division Hw: #501 Pg – 33 odd, skip.

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.

Warm – up #1 x = –2 – 2. Homework Log Tues 12/15 Lesson 5 – 1 Learning Objective: To use synthetic division with complex numbers Hw: #502 Pg. 277 # 3,

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.

Warm – up #2 1. Find 2 (+) and 2 (–) angles that are coterminal to 120 o. What quadrant is it in? 120 o + 1(360 o ) = 120 o + 2(360 o ) = 120 o + (–1)(360.

Quadratic Functions. 1. The graph of a quadratic function is given. Choose which function would give you this graph:

Warm – up #7. Vertex: (0, 0) Axis of Sym: x = 0 x y V(0 0)

Homework Log Fri 2/12 Lesson 7 – 1 Learning Objective: To find angle measurements Hw: #701 Pg. 385 #1 – 39 odd.

Warm – up #6 1 3 –2 – – – – 1 3–5–16 – 23– 8– 5 – 3 3– 1112 –21 3 is upper bound – 3 is lower bound Stop when neg. Stop when.

Pop Quiz! PUT EVERYTHING OFF YOUR DESK!. Homework Log Wed 2/24 Lesson 7 – 4 Learning Objective: To use fundamental properties of trig to find sides Hw:

Y x Warm – up # xy

Warm-up: 1. Graph y = -4x – 3 2. Find f(3) when f(x) = 3x + 2.

Warm – up #12 x 2 – (sum)x + product = 0 (3)( ) (3)

Homework Review Lesson 3.1B.

Algebra Lesson 10-2: Graph y = ax2 + bx + c

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

Section 5.1 Modeling Data with Quadratic Functions Objective: Students will be able to identify quadratic functions and graphs, and to model data with.

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

Quadratic Equations Chapter 5.

4.2 a Standard Form of a Quadratic Function

Notes 3.3 Quadratic Functions

Homework Log Fri 10/2 Lesson 2 – 7 Learning Objective:

Quadratic Functions Extreme Values and Graphs

Quadratic Functions.

Warm up 1) Graph.

Warm – up #4 1. Find the exact value of 2

Homework Review Lesson 3.1B.

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

Quadratic Functions in the Form y = a(x – h)2 + k

Homework Log Thurs 4/21 Lesson 10 – 6 Learning Objective:

Graphing Quadratic Functions

Warm–up #4 Solve & Graph. Write solution in interval notation. 1. x – 5 < –10 or –4x + 4 ≥ x – 10 < –10 or –7x + 1 < – x + 4 < –4 and 8x +

Obj: graph parabolas in two forms

4.1 Notes – Graph Quadratic Functions in Standard Form

4.9 Notes – Graph and Solve Quadratic Inequalities

Homework Log Tues 5/3 Lesson 8 – 5 Learning Objective:

Determine if each is a quadratic equation or not.

Homework Review Lesson 3.1B.

Presentation transcript:

Warm – up #7  Closed x = –2  Open x = –2 xy –2 –3 – –2 –

Homework Log Mon 11/9 Lesson 3 – 5 Learning Objective: To find difference quotients & to graph functions Hw: #308 Pg. 201 #1 – 25 odd

11/9/15 Lesson 3 – 5 Quadratic Functions Advanced Math/Trig

Learning Objective To graph quadratic functions To find vertex To find axis of symmetry To find min/max values

Graph is a parabola

If a > 0 (positive) Opens up Has a minimum If a < 0 (negative) Opens down Has a maximum If it asks for extreme value, it is asking for the max or min value.

Graph xy –3 –2 – V(–1 2)

Graph xy –5 –4 5 2 –2 –1 2 5 V(–3 1)

Graph xy –2 –1 – V( 0 5)

Graph xy –5 –4 8 2 –2 –1 2 8 V(–3 0)

Extreme Value

Ticket Out the Door

Homework #308 Pg. 201 #1 – 25 odd