We think you have liked this presentation. If you wish to download it, please recommend it to your friends in any social system. Share buttons are a little bit lower. Thank you!
Presentation is loading. Please wait.
Published byAlina Owsley
Modified over 2 years ago
Goal: I can infer how the change in parameters transforms the graph. (F-BF.3) Unit 6 Quadratics Translating Graphs #2
Example #1 Use the description to write the equation for the transformation of f(x) = x 2 The parent function f(x) = x 2 is translated 6 units up.
Example #2 Use the description to write the equation for the transformation of f(x) = x 2 The parent function f(x) = x 2 is translated 4 units right.
Example #3 Use the description to write the equation for the transformation of f(x) = x 2 The parent function f(x) = x 2 is narrowed by a factor of 3 and translated 5 units up.
Example #4 How would the graph of be affected if the function were changed to ? The parabola would be wider. The parabola would be shifted up 5 units.
Example #5 How would the graph of be affected if the function were changed to ? The parabola would be open down. The parabola would be wider. The parabola would be shifted down 3 units.
Example #6 How would the graph of be affected if the function were changed to ? The parabola would be open up. The parabola would be more narrow. The parabola would be shifted down 4 units.
Example #7 Write the equation in vertex form; then describe the transformations. Vertex Form:Transformations: Opens down Narrow Left 2 spaces Down 1 space
Example #8 Write the equation in vertex form; then describe the transformations. Vertex Form:Transformations: Left 5 spaces Down 5 spaces
Example #9 Write the equation in vertex form; then describe the transformations. Vertex Form:Transformations: Opens down Narrow Left 4 spaces
Goal: I can infer how the change in parameters transforms the graph. (F-BF.3) Unit 7 Quadratics Translating Graphs.
2.2 b Writing equations in vertex form
QUADRATIC EQUATIONS in VERTEX FORM y = a(b(x – h)) 2 + k.
Unit 2 – Quadratic, Polynomial, and Radical Equations and Inequalities Chapter 5 – Quadratic Functions and Inequalities 5.7 – Analyzing Graphs of Quadratic.
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.
Graph is a parabola. Either has a minimum or maximum point. That point is called a vertex. Use transformations of previous section on x 2 and -x.
Shifting the Standard Parabola. Graphs of Quadratic Functions If a is positive, then our parabola opens up. If a is negative, then our parabola opens.
Consider the function: f(x) = 2|x – 2| Does the graph of the function open up or down? 2. Is the graph of the function wider, narrower, or the same.
6.6 Analyzing Graphs of Quadratic Functions
Section 9.3 Day 1 Transformations of Quadratic Functions Algebra 1.
Vertex form Form: Just like absolute value graphs, you will translate the parent function h is positive, shift right; h is negative, shift left K is positive,
Graphing quadratic functions (Section 5.1. Forms of the quadratic function Standard form Vertex form Intercept form.
Transformations Review Vertex form: y = a(x – h) 2 + k The vertex form of a quadratic equation allows you to immediately identify the vertex of a parabola.
Math 20-1 Chapter 3 Quadratic Functions 3.1A Quadratic Functions Teacher Notes.
Using Transformations to Graph Quadratic Functions 5-1
Unit 2 – Quadratic Functions & Equations. A quadratic function can be written in the form f(x) = ax 2 + bx + c where a, b, and c are real numbers and.
6.6 Analyzing Graphs of Quadratic Functions. The vertex form of a quadratic function gives us certain information that makes it very easy to graph the.
Unit 7 Day 5. After today we will be able to: Describe the translations of a parabola. Write the equation of a quadratic given the vertex and a point.
Graphing Quadratic Equations Standard Form & Vertex Form.
Algebra II w/ trig 4.1 Quadratic Functions and Transformations
Write equation or Describe Transformation. Write the effect on the graph of the parent function down 1 unit1 2 3 Stretch by a factor of 2 right 1 unit.
Holt Algebra Using Transformations to Graph Quadratic Functions Transform quadratic functions. Describe the effects of changes in the coefficients.
4.1 – 4.3 Review. Sketch a graph of the quadratic. y = -(x + 3) Find: Vertex (-3, 5) Axis of symmetry x = -3 y - intercept (0, -4) x - intercepts.
Graphing Quadratic Functions using Transformational Form The Transformational Form of the Quadratic Equations is:
Vertex Form of a Parabola
TRANSFORMATION OF FUNCTIONS FUNCTIONS. REMEMBER Identify the functions of the graphs below: f(x) = x f(x) = x 2 f(x) = |x|f(x) = Quadratic Absolute Value.
Chapter 4 Quadratics 4.3 Using Technology to Investigate Transformations.
Holt McDougal Algebra Using Transformations to Graph Quadratic Functions Transform quadratic functions. Describe the effects of changes in the coefficients.
Transform quadratic functions.
Special Functions and Graphs Algebra II …………… Sections 2.7 and 2.8.
What are the three forms a quadratic equation can be written in? Vertex Standard Factored.
Quadratic Functions Section 2.2. Objectives Rewrite a quadratic function in vertex form using completing the square. Find the vertex of a quadratic function.
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)
Introduction to Quadratics Objectives: Define Quadratic Functions and Parent functions Explore Parameter changes and their effects. R. Portteus
UNIT 5 REVIEW. “MUST HAVE" NOTES!!!. You can also graph quadratic functions by applying transformations to the parent function f(x) = x 2. Transforming.
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.
Section 5-3 Transforming Parabolas. Standard form vs Vertex Form Standard form is y = ax 2 +bx+c Vertex form is y = a(x-h) 2 + k.
Warm-Up: you should be able to answer the following without the use of a calculator 2) Graph the following function and state the domain, range and axis.
1.4 – Shifting, Reflecting, and Stretching Graphs
Parabolas and Modeling
The vertex of the parabola is at (h, k).
Objective: To us the vertex form of a quadratic equation 5-3 TRANSFORMING PARABOLAS.
C HAPTER Using transformations to graph quadratic equations.
Holt McDougal Algebra Using Transformations to Graph Quadratic Functions Warm Up For each translation of the point (–2, 5), give the coordinates.
Review of Transformations and Graphing Absolute Value
Algebra 2. Lesson 5-3 Graph y = (x + 1) 2 – Step 1:Graph the vertex (–1, –2). Draw the axis of symmetry x = –1. Step 2:Find another point. When.
Vertical and Horizontal Shifts of Graphs. Identify the basic function with a graph as below:
Algebra 2 5-R Unit 5 – Quadratics Review Problems.
Question 1 For the graph below, what is the Range? A)[-1, ∞) B)(∞, -1] C)[-5, ∞) D)(∞, -5]
© 2017 SlidePlayer.com Inc. All rights reserved.