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.

Slides:

Advertisements

Similar presentations

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

Advertisements

Algebra II w/ trig 4.1 Quadratic Functions and Transformations

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

M.M. 10/1/08 What happens if we change the value of a and c ? y=3x 2 y=-3x 2 y=4x 2 +3 y=-4x 2 -2.

Quadraticsparabola (u-shaped graph) y = ax2 y = -ax2 Sketching Quadratic Functions A.) Opens up or down: 1.) When "a" is positive, the graph curves upwards.

And the Quadratic Equation……

Graphs of Quadratic Equations. Standard Form: y = ax 2 +bx+ c Shape: Parabola Vertex: high or low point.

Activity 4.2 The Shot Put.

Graphing Quadratics With VERTEX and Axis of Symmetry At the end of the period, you will learn: 1. To compare parabola by the coefficient 2. To find the.

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

Graphing Quadratic Functions Algebra II 3.1. TERMDefinitionEquation Parent Function Quadratic Function Vertex Axis of Symmetry y-intercept Maximum Minimum.

2.10 Graph y = ax 2 + c Quiz: Friday Midterm: March 11.

9.4 Graphing Quadratics Three Forms

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.

Graphing Quadratic Equations Standard Form & Vertex Form.

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.

Objectives Vocabulary zero of a function axis of symmetry

Parabolas Our Fourth Conic Form (9.5). POD What other conic forms have we looked at? Why do we call them conic forms? What’s the primary skill we’ve used.

9.3 Graphing Quadratic Functions

Chapter 10.1 Notes: Graph y = ax 2 + c Goal: You will graph simple quadratic functions.

The Vertex of a Parabola Finding the Maximum or Minimum.

Graphing Quadratic Functions (2.1.1) October 1st, 2015.

GRAPHING QUADRATIC FUNCTIONS

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.

Graphing Quadratic Functions y = ax 2 + bx + c. Quadratic Functions The graph of a quadratic function is a parabola. A parabola can open up or down. If.

6-1 Graphing Quadratic Functions

Parabola  The set of all points that are equidistant from a given point (focus) and a given line (directrix).

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

WARM UP What is the x-coordinate of the vertex? 1.y = -2x 2 + 8x – 5 2.y = x 2 + 3x -2 4.

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

Graphing Quadratic Functions using Transformational Form The Transformational Form of the Quadratic Equations is:

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.

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

Objectives: Be able to graph a quadratic function in vertex form Be able to write a quadratic function in vertex form (2 ways)

Graphing Quadratic Functions in Standard Form 5.1 Algebra II.

Parabolas Because you need them, for physics and stuff.

How To Graph Quadratic Equations Standard Form.

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

9.3 Graphing Quadratic Functions

Graphing Quadratic Functions in Standard Form

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

Quadratic Functions Vertex-Graphing Form.

Notes 3.3 Quadratic Functions

2.7 Absolute Value Functions and Graphs

Quadratic Functions Unit 6.

1.The standard form of a quadratic equation is y = ax 2 + bx + c. 2.The graph of a quadratic equation is a parabola. 3.When a is positive, the graph opens.

Parabolas 4.2. Parabolas 4.2 Standard Form of Parabolic Equations Standard Form of Equation Axis of Symmetry Vertex Direction Parabola Opens up or.

Quadratic Functions Unit 9 Lesson 2.

parabola up down vertex Graph Quadratic Equations axis of symmetry

Quadratic Functions.

Lesson 5.3 Transforming Parabolas

Quadratic Review Aug. 28 and 29.

Warm up 1) Graph.

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.

Find the x-coordinate of the vertex

Graphing Quadratic Functions (2.1.1)

Graphing Quadratic Functions (10.1)

Warm Up Evaluate (plug the x values into the expression) x2 + 5x for x = 4 and x = –3. 2. Generate ordered pairs for the function y = x2 + 2 with the.

Objectives Find the zeros of a quadratic function from its graph.

Warmup 1) Solve. 0=2

Chapter 10 Final Exam Review

Graphs of Quadratic Functions Day 2

Quadratic Functions Graphs

I will write a quadratic function in vertex form.

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

How To Graph Quadratic Equations.

Quadratic Functions and Equations Lesson 1: Graphing Quadratic Functions.

Presentation transcript:

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

The graph of a quadratic equation is a parabola. the graph opens upwardthe graph opens downward

Vertex: the turning point of the parabola Axis of Symmetry: The vertical line that passes through the vertex and divides the parabola into two symmetric parts.

Example 1: Find the axis of symmetry and the vertex. a)b)

Example 2: Find the axis of symmetry. a) b)

Try: Find the axis of symmetry. a) b)

Example 3 : Graph

Example 4 : Graph

Try: Find the axis of symmetry. Then graph each quadratic function using a table. Then state the vertex. a) b) c)