KnighT’s Charge 8/26/15 A. Complete the “Victory Lap”.

Slides:

Advertisements

Similar presentations

5.1 Modeling Data with Quadratic Functions. Quadratic Function: f(x) = ax 2 + bx + c a cannot = 0.

Advertisements

6.1/6.2/6.6/6.7 Graphing , Solving, Analyzing Parabolas

Algebra II w/ trig 4.1 Quadratic Functions and Transformations

The Graph of a Quadratic Function

2.1 Quadratic Functions Completing the square Write Quadratic in Vertex form.

1 Properties of Quadratic Function Graphs Algebra Unit 11.

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

Bellringer Use the FOIL method to solve the following problems. 1. (1 + x)(3 + 2x) 2. (2 + 5x)( x) 3. 2(a 2 + a)(3a 2 + 6a)

EXAMPLE 1 Find the axis of symmetry and the vertex Consider the function y = – 2x x – 7. a. Find the axis of symmetry of the graph of the function.

Warm-Up Find a linear function that describes the situation, and solve the problem. 4 minutes 1) A tractor rents for $50, plus $5 per engine hour. How.

5.1 – Introduction to Quadratic Functions Objectives: Define, identify, and graph quadratic functions. Multiply linear binomials to produce a quadratic.

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

5.1 – Introduction to Quadratic Functions Objectives: Define, identify, and graph quadratic functions. Multiply linear binomials to produce a quadratic.

The General Quadratic Function Students will be able to graph functions defined by the general quadratic equation.

5.1 – Introduction to Quadratic Functions

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

9.3 Graphing Quadratic Functions

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.

5-1: MODELING DATA WITH QUADRATIC FUNCTIONS Essential Question: Describe the shape of the graph of a quadratic function and basic properties of the graph.

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

5-1 Modeling Data With Quadratic Functions Big Idea: -Graph quadratic functions and determine maxima, minima, and zeros of function. -Demonstrate and explain.

Algebra 2 Ch.5 Notes Page 30 P Modeling Data with Quadratic Equations.

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.

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.

Modeling Data With Quadratic Functions

Section 3.3 Quadratic Functions. A quadratic function is a function of the form: where a, b, and c are real numbers and a 0. The domain of a quadratic.

Big Idea: -Graph quadratic functions. -Demonstrate and explain the effect that changing a coefficient has on the graph. 5-2 Properties of Parabolas.

Unit 1B Quadratics Day 2. Graphing a Quadratic Function EQ: How do we graph a quadratic function in standard form? M2 Unit 1B: Day 2 Lesson 3.1A.

5-1 Graphing Quadratic Functions Algebra II CP. Vocabulary Quadratic function Quadratic term Linear term Constant term Parabola Axis of symmetry Vertex.

4.2 Standard Form of a Quadratic Function The standard form of a quadratic function is f(x) = ax² + bx + c, where a ≠ 0. For any quadratic function f(x)

Chapter 2 Quadratic Functions. How do we build quadratic functions? Take two linear functions and multiply them together It’s called multiplying binomials.

5.1 Quadratic Function 11/8/13. Graph is a parabola Vocabulary Quadratic Function : a function that is written in the standard form: y = ax 2 + bx + c.

Solving Quadratic Equation by Graphing

Introduction to Quadratics

Chapter 3 Quadratic Functions

5-2 Properties of Parabolas

Algebra I Section 9.3 Graph Quadratic Functions

3.3 Quadratic Functions Quadratic Function: 2nd degree polynomial

Quadratic Equations Chapter 5.

4.2 a Standard Form of a Quadratic Function

Solving Quadratic Equation and Graphing

Properties of Quadratic Functions in Standard Form 5-1

Properties of Quadratic Functions in Standard Form 5-1

Quadratic Functions The graph of the quadratic function:

Graphing Quadratic Functions

Solving Quadratic Equation by Graphing

Solving a Quadratic Equation by Graphing

Homework Review: Sect 9.1 # 28 – 33

parabola up down vertex Graph Quadratic Equations axis of symmetry

Warm up 1) Graph.

5.1 Modeling Data with Quadratic Functions

3.1 Quadratic Functions and Models

Before: March 15, 2018 Tell whether the graph of each quadratic function opens upward or downward. Explain. y = 7x² - 4x x – 3x² + y = 5 y = -2/3x².

Solving Quadratic Equation by Graphing

Find the x-coordinate of the vertex

Warm Up 1) Rewrite.

Solving Quadratic Equation by Graphing

Review: Simplify.

Solving Quadratic Equation by Graphing

Solving Quadratic Equation

Graphing Quadratic Functions

3.1 Quadratic Functions and Models

Graphing Quadratic Functions

Linear and Quadratic Functions

Warm-Up 6 minutes Use the distributive property to find each product.

Quadratic Functions Graphs

Solving Quadratic Equations by Graphing

Quadratic Functions and Modeling

Do Now 3/18/19.

Presentation transcript:

KnighT’s Charge 8/26/15 A. Complete the “Victory Lap”. B. Simplify using the distributive property. Write the problem AND answer on the back of the “Victory Lap”. 1. 4(7-10) 2. -2(3x+5) 3. 2(x+1)-5(x-6)

VICTORY LAP For the following data, use your calculator to write the equation that best fits the data.

Check Homework

Multiplying Binomials Ex) Find the product: (2x – 3)(4x + 1)

Multiplying Binomials Ex) Find the product: (6x – 4)2

Multiplying Binomials Ex) Find the product: (x – 5)(x + 5)

Introduction to Quadratic Functions

f(x) = ax2 + bx + c (5.1) Objectives: To identify quadratic functions and graphs. To model data with quadratic functions. f(x) = ax2 + bx + c Constant Term Linear Term Quadratic Term

Classifying Functions Determine whether each function is linear or quadratic. Identify the quadratic, linear and constant terms. Ex) f(x) = (2x – 1)2

Classifying Functions Determine whether each function is linear or quadratic. Identify the quadratic, linear and constant terms. Ex) f(x) = x2 – (x + 1)(x – 1)

Quadratic Graphs ______________ – graph of a quadratic function. __________________________ – line that divides the parabola in half. ______________ – the highest or lowest point on the parabola.

Quadratic Graphs Ex) Identify the vertex and the axis of symmetry of the parabola. Identify points corresponding to P and Q. Vertex: _________ AoS: __________ P’: _______ and Q’: ________

Quadratic Graphs Ex) Identify the vertex and the axis of symmetry of the parabola. Identify points corresponding to P and Q. Vertex: _________ AoS: __________ P’: _______ and Q’: ________

Quadratic Models Ex) Find a quadratic model for each set of values. Page 237, #16: (1,-2), (2, -2), (3, -4)

Quadratic Models

Homework HW #3