Warm - up Write the equation in vertex form..

Slides:



Advertisements
Similar presentations
quadratic function- a nonlinear function with an “x squared” term
Advertisements

MM2A3c Investigate and explain characteristics of quadratic function, including domain, range, vertex, axis of symmetry, zeros, intercepts, extrema, intervals.
Radical/Power Functions Radicals Complex Numbers Quadratic Functions
Quadratic Functions Objectives: Graph a Quadratic Function using Transformations Identify the Vertex and Axis of Symmetry of a Quadratic Function Graph.
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.
Roots, Zeroes, and Solutions For Quadratics Day 2.
Solving Quadratic Equations by Graphing 4 Lesson 10.2.
Unit 1 part 2 Test Review Graphing Quadratics in Standard and Vertex Form.
MM2A1. Students will investigate step and piecewise functions, including greatest integer and absolute value functions. b. Investigate and explain characteristics.
CHAPTER 10 LESSON OBJECTIVES. Objectives 10.1 Students will be able to: Identify quadratic functions and determine whether they have a minimum or maximum.
Do Now: Solve the equation in the complex number system.
Warm Up for Lesson 3.5 1)Solve: x 2 – 8x – 20 = 0 2) Sketch the graph of the equation y = 2x – 4.
Do Now: Solve the equation in the complex number system.
Graphing Quadratic Functions. The graph of any Quadratic Function is a Parabola To graph a quadratic Function always find the following: y-intercept.
Warm up Write the equation in vertex form of the quadratic equation that has been: 1. shifted right 7 and down reflected across the x-axis and shifted.
Factor each polynomial.
Warm up Write the equation in vertex form of the quadratic equation that has been: 1. shifted right 7 and down reflected across the x-axis and shifted.
What is the terminology we use to analyze a quadratic function?
Warm Up /05/17 1. Evaluate x2 + 5x for x = -4 and x = 3. __; ___
Warm Up /31/17 1. Evaluate x2 + 5x for x = 4 and x = –3. __; ___
Part 4.
4.2 a Standard Form of a Quadratic Function
Using the Vertex Form of Quadratic Equations
8.4 Graphing.
Characteristics of Quadratic functions
Properties of Quadratic Functions in Standard Form 5-1
Y Label each of the components of the parabola A: ________________ B: ________________ C: ________________ C B B 1 2.

Warm-up Solve by factoring: 3x2 – 16x – 7 = 5
parabola up down vertex Graph Quadratic Equations axis of symmetry
Warm up 1) Graph.
Chapter 15 Review Quadratic Functions.
What are the equations of the following lines?
Quad Frame Vertex Name: For each equation:
Bahm’s EIGHT Steps to Graphing Quadratic Equations (y = ax2 + bx + c) like a CHAMPION! Find the axis of symmetry (x = -b/2a) Substitute.
Graphing Quadratic Functions
Chapter 15 Review Quadratic Functions.
Characteristics of Quadratic functions
Section 9.1 Day 4 Graphing Quadratic Functions
“P. Sherman, 42 Wallaby Way, Sydney!”
Section 9.1 Day 2 Graphing Quadratic Functions
Creating & Graphing Quadratic Functions Using the X-Intercepts (3.3.2)
Section 9.1 Day 2 Graphing Quadratic Functions
Quadratics Lesson 2 Objective: Vertex Form of a Quadratic.
Graphing Quadratic Equations
8.4 Graphing.
Section 9.1 Day 3 Graphing Quadratic Functions
Warm - up Write the equation in vertex form..
Characteristics of Quadratic functions
15.1 Characteristics from Vertex Form
Vertical distance in feet
Warm up Write the equation in vertex form of the quadratic equation that has been: 1. shifted right 7 and down reflected across the x-axis and shifted.
“P. Sherman, 42 Wallaby Way, Sydney!”
Solve Quadratics by Graphing ax2 +bx + c
55. Graphing Exponential Functions
Warm Up Find the following: Vertex A.O.S. Y-intercept X-intercept.
Characteristics.
Graphing Quadratic Equations
Quadratic Equation Day 4
Characteristics.
Warm up Graph the Function using a table Use x values -1,0,1,2,3
Warm up Write the equation in vertex form of the quadratic equation that has been: 1. shifted right 7 and down reflected across the x-axis and shifted.
Quadratic Functions and Their Properties
Characteristics of Quadratic functions
Quad Frame Vertex Name: For each equation:
Warm Up Determine whether the function is increasing, decreasing, or constant. Explain your answer. Graph the function x y Determine if.
Warm Up Graph the following on an x,y axis using the table method
Characteristics of Quadratic functions
Quadratic Functions and Equations Lesson 1: Graphing Quadratic Functions.
Presentation transcript:

Warm - up Write the equation in vertex form.

Graphing Quadratics in Standard Form

Open Up / Open Down

Steps to Graphing in Standard Form Identify a, b, and c. Find the Axis of Symmetry. Table, Edit Function, Start = A.O.S. This value is your VERTEX. Plot it. Scroll up and down to get other ordered pairs. Connect in a U-shape with arrows at each end.

Characteristics A.O.S.   Vertex: Domain: Range: x-intercept(s): y-intercept: Interval of Increase: Interval of Decrease: Rate of change from 0  x  2: Rate of change from 1  x  3:

Characteristics A.O.S.   Vertex: Domain: Range: Zeros: y-intercept: Interval of Increase: Interval of Decrease: Rate of change from 0  x  2: Rate of change from 4  x  5:

Characteristics A.O.S.   Vertex: Domain: Range: Roots: y-intercept: Interval of Increase: Interval of Decrease: Rate of change from 0  x  2: Rate of change from -3  x  1: