Shifting functions worksheet. reflect across the x-axis , shift down 8 14.
Shifting functions worksheet Worksheet by Kuta Software LLC-2-5) y = 2x2 - 8x + 66) y = x2 + 10x + 24 Using the parent graph y=x^2, describe the following transformations 1) opening: up/down, 2) stretch: narrow/normal/wide,3) shift units: left/right 4) shift units: up/down. Showing top 8 worksheets in the category - Shifting A Function. reflect across the x-axis, shift down 1 12. 3 Identify the effect on the graph NAME DATE 6-2 Practice Worksheet Amplitude, Period, and Phase Shift State the ampfitude, period, and phase shift for each function. Create a table for the function . f(x) = √(x + 2) 16 CHAPTER 1 A Review of Functions 84 University of Houston Department of Mathematics (b) 6 6 Up 6 Reflect in the -axis f x x g x x h x x y o o (c) Yes, parts (a) and (b) yield the same function. Fill in the table below and plot points to graph the function. T d EAflplO zruiLgehftxst IrBe`sFe\rwvZeIdc. y =-3 sin 40 #13 - 17 Given the parent function and a description of the transformation, write the equation of the transformed function, f(x). Then identify the vertex, axis of symmetry, and sketch the graph. −6 −2 6 6 y = g(x) −6 −2 6 6 Write the equation for the function y = x 2 with the following transformations. e. 45, horizontal shift left 8. _____ 6. Horizontal shifts are inside changes that affect the input (x-) values and shift the function left or right. Graph the given function with a translation of 6 units to the right. f x x2. _____ 12. Vertical shifts are outside changes that affect the output (y-) values and shift the function up or down. BF. Build new functions from existing functions. reflect across the x-axis , shift down 8 14. Graph the given function with a vertical stretch of factor ½ and a translation of 3 units to the left. 11. The graph of is a vertical shift of four units upward of the graph of So, the equation for is b. Absolute value—vertical shift down 5, horizontal shift right 3. h h g g x x2 4. Absolute value—vertical shift up 5, horizontal shift right 3. Square root — horizontal shift right 2, vertical shift down 1. 13) x y Parent: f(x) x g(x) (x ) 14) x y Parent: f(x) x g(x) x Create your own worksheets like this one with Infinite Precalculus. Quadratic—reflected over the x axis and vertical shift down 2 _____ 16. Radical—vertical compression by 2 5 _____ 15. Basic knowledge of translation such as horizontal shift and vertical shift; reflection, horizontal / vertical stretches and horizontal / vertical compressions are required to solve these transformation worksheet pdfs. This compilation of well-researched printable worksheets has been designed to help high school learners strengthen their understanding on transformation of quadratic functions, transforming the graphs, finding the transformation function g(x) from its parents function f(x) and identifying the various types of shifts. -1-Using degrees, find the amplitude and period of each function. € y=x+2 x ‐2 ‐1 0 1 2 y 3. Identify the parent function f (x) and write an equation for the function given. y = 10sec 0 3. b. € y=x x ‐2 ‐1 0 1 2 y 2. Vertical and Horizontal Shifts Activity 2 Graph the following functions. _____ 14. If k is positive, then the graph will shift up If k is negative, then the graph will shift down . reflect across the x-axis and vertically compress by a factor of 1 2 16. Example 2 A function f(x) is given as a table below. Free trial available at KutaSoftware. h x x 2 2 1. com Given: the function shown at the right y = x(x - 2)(x + 3) a. gx f x() 3= − The formula. Then graph. Cubic—reflected over the x axis and vertical shift down 2. Describe the transformation that occurred to the given function, if a new function's equation is This worksheet mainly covers the two common core standards: Build a function that models a relationship between two quantities. 5. _____ 13 In the following, a) the parent function b) describe any translations and transformations c) sketch the functions d) (optional) determine the domain and range 1) y = Ix —21 +4 parent function: horizontal shift (c): 2 units to the fight vertical shift (d): 4 units up domain: all real numbers range: y > 4 parent function: a is the b is the then g(x) is a vertical shift of the function f(x), where all the output values have been increased by k. vertically stretch by a factor of 3, shift right 5 and up 1 13. _____ 8. Write the equation for the function y = x2 with the following transformations. reflect across the x-axis and vertically compress by a factor of ½ Find the indicated transformed function g(x) from its parent function f(x). _____ 11. 10. shift up 5 14. 13. Quadratic—vertical compression by 0. Some of the worksheets displayed are Combining functions shifting and scaling graphs, Vertical and horizontal shifts of graphs, Shifting stretching and reflecting graphs, Graphical transformations of functions, Focusing sustaining and shifting attention, Graph transformations, Managing your triggers toolkit, Lesson 1 piecewise the table below and plot the points to graph the function. g f x x2. 1 Write a function that describes a relationship between two quantities. y =-2 sin 0 2. reflect across the x-axis , shift down 8 15. Linear—vertical shift up 5. B. HSF. c. A. _____ 7. Square Root —vertical shift down 2, horizontal shift left 7. reflect across the x-axis, shift down 1 y=−x2−1 12. Combining the two types of shifts will cause the graph of a function to shift up or down and left or right. Worksheet by Kuta Software LLC Algebra 2 Graphing Trig Functions Phase and Vertical Shifts Name_____ ID: 1 Date_____ Period____ ©l C2W0g1c5v lKNuFtPai \SYoffwtAwkaFr]ez SLcLrCr. 7) y = - 1 3 (x - 5) 2 + 3 x y-8-6 For problems 10 – 14, given the parent function and a description of the transformation, write the equation of the transformed function, f(x). The graph of is a horizontal shift of two units to the left, and a vertical shift of one unit downward, of the graph of So, the equation for is Now try Exercise 17. 1. zyae sjqrtj mbq jiccl cjrqfvc fsyaj houl jmdlz rkfl lkagcu iwxhyb qqgk aqteqo vindkh xgqmm