Linear Function Transformations Worksheet

Section 3.6 Transformations of Graphs of Linear Functions 145 EEssential Questionssential Question How does the graph of the linear function fx x compare to the graphs of gx fx c and hx fcx? Comparing Graphs of Functions Work with a partner. The graph of fx x is shown. Sketch the graph of each function, along with f, on the same set of coordinate axes.

Worksheet by Kuta Software LLC Algebra 1 HW34 Function Transformations Graph the four basic functions. 1 Linear x y-8-6-4-22468-8-6-4-2 2 4 6 8 2 Absolute Value x y-8-6-4-22468-8-6-4-2 2 4 6 8 3 Quadratic x y Infinite Algebra 1 - HW34 Function Transformations Created Date

In this worksheet, you will explore how linear functions can be transformed on a graph. For each transformation described, sketch the graph of the original function, apply the transformations, and then describe the effects of those transformations. Use the grid provided for your sketches. Part 1 Understanding the Basic Linear Function

Graph fx x and gx 3x 1. Then describe the transformations from the graph of fx to the graph of gx. Problem 6 A trophy company charges 175 for a trophy plus 0.20 per letter for the engraving. The total charge for a trophy with x letters is given by the function fx 0.20x 175.

Describe the transformations necessary to transform the graph of fx into that of gx. 3 f x x gx x 4 fx x gx x Transform the given function fx as described and write the resulting function as an equation. 5 f x x expand vertically by a factor of

Worksheet by Kuta Software LLC Algebra 1 Transforming Linear Equations WS Name_____ P V2q0N1c4E qK_uOtnax wSjoPfRtxwaMrie ZLvLXCw.z A iAflPlT rMiAgLhVtBsh mrLegsTexrFv_eAdH.-1-Explain the transformation for each equation from the parent function. 1 y 3x 3 2 y - 1 2 x 1 3 7x - y 54 4x 5

Graph the following functions without using technology. Feel free to use a graphing calculator to check your answer, but you should be able to look at the function and apply what you learned in the lesson to move its parent function. Also, state the domain and range for each function. 1. fx x 2 42 2. fx x 3 1 3 3.

This ensemble of transformation worksheets is targeted to help high school learners gain an understanding of the transformation of a linear function and its graph. Find the indicated transformed function gx from its parent function fx. In this set of pdf transformation worksheets, for every linear function fx, apply the translation

150 Chapter 3 Graphing Linear Functions GO DIGITAL Stretches and Shrinks You can transform a function by multiplying all the inputs x-coordinates by the same factor a.When a gt 1, the transformation is a horizontal shrink because the graph shrinks toward the y-axis.When 0 lt a lt 1, the transformation is a horizontal stretch because the graph stretches away from the y-axis.

WORKSHEET ON LINEAR TRANSFORMATIONS MATH 1861 De nition 0.1. Given a function T which takes vectors as input, and outputs vectors, we say that T is a linear transformation if the following two properties hold. 1 For any two vectors v and v0, we always have Tv v0 Tv Tv0. In other