654321-1-1-2-3-4A-5-6-The graph above shows the function f(x). The graph below shows g(x).6543213-1-2-3-4-5-6 |g(x) is a transformation of f(x) where g(x) = Af(Bx) where:A =B =

Step 1:To determine the values of A and B in the transformation g(x) = A f(Bx), we need to analyze…

Answered: 6 5 4 3 2 1 -1 -1 -2 -3 -4 A -5 -6- The…

Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015

1st Edition

ISBN:9781680331141

Author:HOUGHTON MIFFLIN HARCOURT

Publisher:HOUGHTON MIFFLIN HARCOURT

Chapter3: Graphing Linear Functions

Section: Chapter Questions

Problem 28CR

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Similar questions

What is the advantage of knowing how to recognizetransformations of the graph of a parent functionalgebraically?
13) Consider the function: h(x)=-|x+5|-1 a. State the basic function. b. State the transformations of basic function to get to h(x)
For the function g(x) = f(x-4) -3 List all of the transformations If f(x)=√x graph g(x)
Graphs of y=f(x) and y=g(x) are shown below. The graph of y=g(x) may be obtained from the graph of y=f(x) by one or more transformations; hence, find an expression for g(x) in terms of f(x). You MUST state the transformations that must be performed and the order in they are performed to obtain the graph of g(x) from the graph of f(x). Note: Do not attempt to find formulas for f(x) or g(x). 4 y = f(x) • y =, -2. 0 -2 -2 -2
2) In words, communicate all transformations made on the parent function f(x) = 2* sketch the function: g(x) = -5-2-(x+1), +7
The functions g(x) and k(x) are graphed as shown. Which of the following represents k(x) as a transformation of g(x)? O kx) =-g(x + 3) - 1 O kx) = -g(x - 3) - 1 O k(x) = g(x - 1) + 3 O K(x) = g(x - 2) - 1
Here is the parent function f(x) 5- 4 -5 -4 -3 -2 -1 2 3 4 5 -2 -3 -4 -5 Write an equation for the transformation g(x) in terms of f(x). 5+ 4 3 -5 -4 -3 -1 2 4 5 -2 -3 -4 -5+
Use the graph of f shown in the figure to sketch the graph of each function. (a) f(x − 4) (b) f(x + 2) (c) f(x) + 4 (d) f(x) − 1 (e) 2f(x) (f) 1/2 f(x) (g) f(−x) (h) −f(x)
Describe the transformations that take the function f(x) = 3* to g(x) = 5 (3*) - 7by giving the number of units f (x)is stretched vertically and translated vertically. Vertical stretch: Vertical translation:
The graphs of two functions, f and g, are illustrated. Use the graphs to answer parts (a)–(f). y=g(x) |(2, 2) (4, 1) (6, 1) (6, 0) 22, 1) 2 (3, –2) (5, –2) (4, –3) (a) (f+ g)(2) (b) (f + g) (4) (c) (f – g) (6) (d) (g – f) (6) () ()(4) (e) (f•g)(2) 2.
2.) The function g is related to one of the parent functions g(x) = x2 – 3 The parent function is: f(x) = x^2 Use function notation to write g in terms of f.
Refer to the graph of the function f in the following figure. = 65 5 -2* (a) Find f(0). f(0) 4 3- 2- 1+ X = (i) f(x) = 3 X = (ii) f(x) = 0 X (b) Find the value of x for which f(x) = 3 and f(x) = 0. X 4 X y = f(x) 5 X

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6 5 4 3 2 1 -1 -1 -2 -3 -4 A -5 -6- The graph above shows the function f(x). The graph below shows g(x). 6 5 4 3 2 1 3 -1 -2 -3 -4 -5 -6 | g(x) is a transformation of f(x) where g(x) = Af(Bx) where: A = B =