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.
6.6 Analyzing Graphs of Quadratic Functions Goal 1: Analyze quadratic functions of the form y=a(x-h) 2 +k Goal 2: Write a quadratic function in the form.
Graphical Transformations Vertical and Horizontal Translations Vertical and Horizontal Stretches and Shrinks.
In this section, you will learn to: identify unit graphs of various functions transform a unit graph by stretching, shifting and reflecting write the.
Copyright © 2013, 2009, 2005 Pearson Education, Inc. Section 8.2 Parabolas and Modeling.
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.
1 6.6 Analyzing Graphs of Quadratic Functions. Graphing the parabola y = f (x) = ax 2 Consider the equation y = x (–1, 1)(0, 0)(1, 1)(2, 4)
Quadratic Function has the form y=ax 2 +bx+c where a cannot be 0 and the graph is a “U-shaped” called a parabola. --ax 2 : quadratic term --bx:
Parabola Conic section. Quadratic Functions The graph of a quadratic function is a parabola. If the parabola opens up, the lowest point is called the.
Holt McDougal Algebra Using Transformations to Graph Quadratic Functions 5-1 Using Transformations to Graph Quadratic Functions Holt Algebra 2 Warm.
A.A parabola is the graph of a quadratic function, which you can write in the form f(x) = ax² + bx + c, where a å 0. B.The vertex form of the quadratic.
Transformations of Functions Viviana C. Castellón East Los Angeles College MEnTe Mathematics Enrichment through Technology.
MM2A3. Students will analyze quadratic functions in the forms f(x) = ax 2 + bx + c and f(x) = a(x – h) 2 + k. c. Investigate and explain characteristics.
2.1 Quadratic Functions Use the graphing calculator and graphy = x 2 y = 2x 2 y = The quadratic function f(x) = a(x – h) 2 + k is said to be in standard.
2-6 Families of Functions Algebra 2 Prentice Hall, 2007 Think… The Function FamilyThe Function Family.
Do Now 1) Draw a coordinate grid (like below) and label the axes 2)Graph the point (2,1) 3) Translate (2,1) 4 units up and 1 unit left 4)Write the translation.
3.2 Graphing Quadratic Functions in Vertex or Intercept Form Definitions Definitions 3 Forms 3 Forms Graphing in vertex form Graphing in vertex form Examples.
Factor and Solve Quadratic Equations Ms. Nong What is in this unit? Graphing the Quadratic Equation Identify the vertex and intercept(s) for a parabola.
Holt Algebra Rational Functions Rational functions may have asymptotes (boundary lines). The f(x) = has a vertical asymptote at x = 0 and a horizontal.
Sketching a Parabola if the x- Intercepts Exist. What do you Need to Sketch a Parabola? Can you sketch a parabola if you only know where its y- intercept.
Solving Quadratic Equations by Completing the Square.
5.2 Properties of Parabolas. y = ax 2 + bx + c Standard Form c is the y-intercept. If b = 0 then y = ax 2 + c Axis of symmetry: x = 0 Vertex (0, c)
2.6 Families of Functions 1.Translations 2.Stretches, Shrinks and Reflections.
CCSSM Stage 3 Companion Text Lesson 3-O. Warm-Up 1.Describe the translation that moves A(–3, 4) to A'(1, 3). 2.Describe the type of reflection that moves.
Chapter 10 Quadratic Relations. In this chapter you should … Learn to write and graph the equation of a circle. Learn to find the center and radius of.
3.2 Families of Graphs. Family of graphs – a group of graphs that displays one or more similar characteristics Parent graph – basic graph that is transformed.
3.3 Logarithmic Functions and Their Graphs We learned that, if a function passes the horizontal line test, then the inverse of the function is also a function.
Investigating the Effect of a, h, and k in Vertex Form.
Copyright © 2013, 2009, 2005 Pearson Education, Inc. Section 8.1 Quadratic Functions and Their Graphs.
Graphing Quadratic Functions y = ax 2 + bx + c. All the slides in this presentation are timed. You do not need to click the mouse or press any keys on.
© 2016 SlidePlayer.com Inc. All rights reserved.