'Parent functions' diaporamas de présentation

Chapter 1

Chapter 1 . 1-4 Shifting, reflecting and stretching graphs. objectives. The student will be able to: Recognize graphs of parent functions Use vertical and horizontal shifts and reflections to graph functions Use nonrigid transformations. Parent functions. What are parent functions?

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Factoring Practice (5 questions)

Factoring Practice (5 questions). Factoring Practice (Answers). Exponential Functions and Their Graphs Sections 7-1,2,3. Objectives. I can recognize growth or decay exponential equations I can graph exponential growth and decay parent functions. Definition of Exponential Function.

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Asymptote??

Asymptote??. Start with the number one (1) and then divide it by two (2). Take that number that you got and divide that number by two (2). Continue this process several more times. What do you notice? Try doing the same thing but keeping it a fraction, what do you notice about the fraction?.

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Turn homework into the box-staple together and make sure both names are on sheet!! Sckett

Turn homework into the box-staple together and make sure both names are on sheet!! Sckett. Transformation of Functions. Linear Function f(x) = x. The squaring function . The absolute value function . Absolute value- distance from zero for order of operations works like ( ).

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Transformations of Graphs

3.5. Transformations of Graphs. Graph functions using vertical and horizontal translations Graph functions using stretching and shrinking Graph functions using reflections Combine transformations Model data with transformations. Parent Functions.

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Object Oriented Programming in Python

Object Oriented Programming in Python. Richard P. Muller Materials and Process Simulations Center California Institute of Technology June 1, 2000. Introduction. We've seen Python useful for Simple Scripts Numerical Programming This lecture discusses Object Oriented Programming

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Warm up

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Chapter 3

Chapter 3. Transformations of Graphs and Data. Transformation: 1 to 1 correspondence between sets of points (augmenting a figure) Translation: slide Scale change: shrinking or stretching a figure Translations and scale changes are two types of transformations (there are others).

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4.3 Graphs of Polynomial Functions

4.3 Graphs of Polynomial Functions. Objective: Recognize the shape of basic polynomial functions Describe the graph of a polynomial function Identify properties of general polynomial functions: Continuity, End Behaviour, Intercepts, Local Extrema , Points of Inflection

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Exploring Transformations of Parent Functions

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13.6 Homework

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Unit 1, Part 2

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Section 1.1.2 Parent Functions & Transformations

Section 1.1.2 Parent Functions & Transformations. SHIFTS:. d: located _____________________ _________________ shifts the graph in the ______________direction as the operation. SHIFTS:. c: located _____________________ _________________ shifts the graph

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Parent Functions

Parent Functions. Learning Goal. I will be able to recognize parent functions, graphs, and their characteristics. Constant Function. Equation: f(x) = 2 Calculator Notation: y 1 = 2 Domain: all real numbers Range: {2}. Linear Function. Equation: f(x) = x Calculator Notation: y 1 = x

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PARENT FUNCTIONS

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Graphing Quadratic Equations in Standard Form

Graphing Quadratic Equations in Standard Form. y = ax 2 + bx + c. Graph y = x 2. Find Axis of Symmetry a = 1 b = 0 c = 0 To find the Vertex, Plug 0 back into y = x 2 for x. Vertex(0,0). x = 0. y = 0. y. x. Graph y = x 2. Min or Max?. Axis of Symmetry x = 0 Vertex (0,0)

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Parent Functions and Their Babies

Parent Functions and Their Babies. Domain and Range. The Babies. Domain : (-?,?) Range : {y: y R }. LINEAR: y=x. The Babies. Domain: (-?,?) Range : {y: y > 0}. Absolute Value y= lxl. The Babies. Domain : [0,?) Range : {y: y > 0}. Radical y=. The Babies. Domain : (0,?)

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7-8 Graphing Radical Functions

7-8 Graphing Radical Functions. (Half-Graphs). A radical equation defines a radical function. f(x) = ?x. Translations: Vertical: The graph of the radical function y = ?x +k is a translation of y = ?x up k units if k is positive and down if k is negative. Ex: y = ?x +2

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Functions in Everyday Life

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Thursday, August 25, 2011

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