Unit 3 test parent functions and transformations linear absolute value and quadratic

How to work with Parent Functions and Transformations. Translating, reflecting, stretching and compressing parent functions. We discuss the cubic, quadratic,...

Students also learn the different types of transformations of the linear parent graph. For example, if the parent graph is shifted up or down (y = x + 3), the transformation is called a translation. If the parent graph is made steeper or less steep (y = ½ x), the transformation is called a dilation.9.2.2.1 Represent and solve problems in various contexts using linear and quadratic functions. 9.2.2.3 Sketch graphs of linear, {absolute value} and quadratic functions, and translate between graphs, tables and symbolic representations. Know how to use graphing technology to graph these functions.

The parent function is the simplest form of the type of function given. The transformation being described is from to . The horizontal shift depends on the value of .In this activity, students will discover linear transformations. A.7a-f Functions This activity has students sort graphs, equations of lines, and descriptions of transformations from the parent function. In this activity, the learner will analyze graphs of quadratic equations (parabolas) to determine which of three statements is incorrect. THE PARENT FUNCTIONS LINEAR ABSOLUTE VALUE y = x y = |x| EXPONENTIAL CUBE ROOT ... equation of the transformed function, f(x). 13. Absolute value—vertical shift up 5, horizontal shift right 3. ... of each form gives you information about the graph of the function. LINEAR QUADRATIC Standard form: ax+by=c Standard form: y= ax2 +bx+c(3) 3. Analyze the graphs of linear, absolute value, quadratic, rational, radical, exponential and logarithmic functions and the graphs of circles. (2) 4. Solve real-world problems whose solutions involve linear, quadratic, absolute value, rational, radical, exponential and logarithmic equations. (3)

Quadratic Functions A quadratic function is an equation in the form y = ax2 + bx + c, where a, b, and c are real numbers and a 0. The shape of a quadratic function is a _____, a smooth and symmetric U-shape. Example 4: Use the table of values below to graph the quadratic function. x y -1 -1 0 -4 1 -5 2 -4 3 -1

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Identify and sketch graphs of parent functions, including linear, absolute value and quadratic functions. Use the parent functions to investigate, describe and predict the effects of changes in a, h, and k in vertex form. Describe transformations of functions.How to work with Parent Functions and Transformations. Translating, reflecting, stretching and compressing parent functions. We discuss the cubic, quadratic,...

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THE PARENT FUNCTIONS LINEAR ABSOLUTE VALUE y = x y = |x| EXPONENTIAL CUBE ROOT ... equation of the transformed function, f(x). 13. Absolute value—vertical shift up 5, horizontal shift right 3. ... of each form gives you information about the graph of the function. LINEAR QUADRATIC Standard form: ax+by=c Standard form: y= ax2 +bx+c
Transcribed image text: 2.09 Unit 3: Parent Functions & Transformations Per Homework 9: Function Families Review Linear Absolute Value & Quadratic ** This is a 2-page documenti cu Graph each function, then identity the characteristics 1. /(x) = (x+5)* - 2 Function Family (-2,-2) Parent Function D selylys ? End Behavior A 1) - As ) Increasing interval(); Decreasing Interval(s); Tants 2. 1(x ...

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Unit 5: Transformations (3 weeks) Approximate dates: January 31 - November 22, 2017 5.1 I can identify parent functions including linear, absolute value, quadratic, square roots, and exponential functions. (9.2.2.3) 5.2 I can identify, describe and apply a variety of transformations to functions. (9.2.1.9)