CH 2.1: Transformations of Quadratic Functions

Slides:



Advertisements
Similar presentations
Goal: I can infer how the change in parameters transforms the graph. (F-BF.3) Unit 6 Quadratics Translating Graphs #2.
Advertisements

Algebra II w/ trig 4.1 Quadratic Functions and Transformations
In Chapters 2 and 3, you studied linear functions of the form f(x) = mx + b. A quadratic function is a function that can be written in the form of f(x)
6.5 - Graphing Square Root and Cube Root
Transform quadratic functions.
2.2 b Writing equations in vertex form
REVIEW OF RADICAL FUNCTIONS AND ABSOLUTE VALUE FUNCTIONS.
The Graph of f (x) = ax 2 All quadratic functions have graphs similar to y = x 2. Such curves are called parabolas. They are U-shaped and symmetric with.
Graphing Quadratic Equations Standard Form & Vertex Form.
Section 4.1 – Quadratic Functions and Translations
Quadratic Functions Vertex Form.
Unit 1: Function Families Lesson 5: Transformations & Symmetry Notes Graph y = ax 2 + bx + c.
1. 3x + 2 = ½ x – 5 2. |3x + 2| > x – 5 < -3x |x + 2| < 15 Algebra II 1.
Math II Day 42 (3-8-10) UNIT QUESTION: How are absolute value equations similar to piecewise functions? Standard: MM2A1 Today’s Question: How do we graph.
4.1 Quadratic Functions and Transformations A parabola is the graph of a quadratic function, which you can write in the form f(x) = ax 2 + bx + c, where.
Math 20-1 Chapter 3 Quadratic Functions
FUNCTIONS REVIEW PRE-CALCULUS UNIT 1 REVIEW. STANDARD 1: DESCRIBE SUBSETS OF REAL NUMBERS What are the categories? Where would these be placed? 7, 6,
Objectives Transform quadratic functions.
Warm Up for Lesson 3.5 1)Solve: x 2 – 8x – 20 = 0 2) Sketch the graph of the equation y = 2x – 4.
Holt McDougal Algebra 2 Rational Functions Graph rational functions. Transform rational functions by changing parameters. Objectives.
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)
Do Now: Think about what you learned from Chapter 1. How do you think the constants a, h, and k affect the graph of the quadratic function y = a(x.
Identifying Quadratic Functions
Warm Up For each translation of the point (–2, 5), give the coordinates of the translated point units down 2. 3 units right For each function, evaluate.
Do-Now What is the general form of an absolute value function?
Transformations of Quadratic Functions (9-3)
3.3 Quadratic Functions Quadratic Function: 2nd degree polynomial
Quadratic Functions in Vertex Form
13 Algebra 1 NOTES Unit 13.
Using Transformations to Graph Quadratic Functions 5-1
Warm Up Solve by factoring. x2 + 10x + 25 x2 – 16x + 64 x2 + 18x + 81.
Absolute Value functions
Mrs. Rivas Ch 4 Test Review 1.
Graphs of Quadratic Functions
Warm-Up Find the x and y intercepts: 1. f(x) = (x-4)2-1
Chapter 7 Functions and Graphs.
Transforming Quadratic Functions
Objective Graph and transform quadratic functions.
Objectives Transform quadratic functions.
Graphing Quadratics in Vertex Form
5-7 Warm Up – Discovery with Partners
Transforming Quadratic Functions
Objectives Transform quadratic functions.
Unit 5a Graphing Quadratics
Section 9.3 Day 1 & Day 2 Transformations of Quadratic Functions
_ _ ____ ___ ____ ____________.
Chapter 1 Introductory Project 1.3.
Graphing Quadratic Functions
y x Lesson 3.7 Objective: Graphing Absolute Value Functions.
2.1(c) Notes: Quadratic Functions
Vertex Form.
A rational function is a function whose rule can be written as a ratio of two polynomials. The parent rational function is f(x) = . Its graph is a.
SQUARE ROOT Functions 4/6/2019 4:09 PM 8-7: Square Root Graphs.
SQUARE ROOT Functions Radical functions
Graphing Quadratics In Intercept form.
Warm-up 1)
Translations & Transformations
Section 2.2 Characteristics of Quadratic Functions
Warm-up Without a calculator, state all of the following: 1) y=-3(x + 4)2 - 5 a) Transformations b) Domain c) Range.
Objective Graph and transform quadratic functions.
Absolute Value Equations
WARM UP ANNOUNCEMENTS -Pick up your assigned calculator -Pick up Unit 3 HW Packet -Check your file for School Beautification Project grades Copy down the.
Quadratic Functions in Vertex Form
Bellwork: 2/8/18 Graph. Identify the vertex, axis of symmetry, domain, and range. 1. y = -3x y =(x-1)2 *Have your bellwork for the week out,
Do Now 3/18/19.
Section 8.1 “Graph y = ax²”.
Ch 1.2: Transformations Essential Question: How do the graphs of y=f(x-c) and y=f(x)+c compare/contrast?
Unit 5a Graphing Quadratics
Do Now 3/28/19 Take out HW from last night. Copy HW in your planner.
What is the domain and range for the function f(x) =
Presentation transcript:

CH 2.1: Transformations of Quadratic Functions Essential Question: How do the constants a, h, and k affect the graph of the quadratic function g(x) = a(x-h)²+k?

Try to NOT use your calculator Exploration 2.1 Try to NOT use your calculator Only to check work

Vertex Form

Review of transformations- no need to write down. These are also in your textbook

Making a graph wider and more narrow

MAX AND MIN

4 Color Quiz! In your groups you will be making 3 possible “quadratic quiz questions,” similar to the activity we did at the beginning of the year. These will be turned into me at the end of the period in a zipblock bag with your group member names on the bag. In your groups, decide on 3 quadratic transformed functions. On the pink paper, draw the graph On the green paper, write the function On the yellow paper, write the name of the parent function and describe the transformations from the parent. On the purple paper, write the domain and range