2.54 The function g is related to one of the parent functions.g(x)= x +41-3(a) Identify the parent function f.f(x) =(b) Describe the sequence of transformations from f to g. (Select all that apply.)O horizontal shift of 4 units to the rightOhorizontal shift of 4 units to the leftOhorizontal shrinkOvertical shift of 3 units downwardOvertical shrink(c) Sketch the graph of g.-55-5y5 (C) Sketch the graph of g.-5-5y(d) Use function notation to write g in terms of f.g(x) = ALX-5-55y5XX

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Answered: The function g is related to one of 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

Chapter5: Solving Systems Of Linear Equations

Section: Chapter Questions

Problem 5CA

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How do you find the domain for the composition of two functions, fg ?
What is the advantage of knowing how to recognizetransformations of the graph of a parent functionalgebraically?
Population Growth The projected population of the United States for the years 2025 through 2055 can be modeled by P=307.58e0.0052t, where P is the population (in millions) and t is the time (in years), with t=25 corresponding to 2025. (a) Use a graphing utility to graph the function for the years 2025 through 2055. (b) Use the table feature of the graphing utility to create a table of values for the same time period as in part (a). (c) According to the model, during what year will the population of the United States exceed 430 million?
Bungee Jumping Luisa goes bungee jumping from a 500-ft-high bridge. The graph shows Luisas height ht in ft after t seconds. Describe in words what the graph indicates about Luisas bungee jump. Suppose Luisa goes bungee jumping from a 400-ft-high bridge. Sketch a new graph that shows Luisas height Ht after t seconds. What transformation must be performed on the function h to obtain the function H? Express the function H in terms of h.
Population Growth The projected population of the United States for the years 2025 through 2055 can be modeled by P=307.58e0.0052t, where P is the population (in millions) and t is the time (in years), with t=25 corresponding to 2025. (Source: U.S. Census Bureau) (a) Use a graphing utility to graph the function for the years 2025 through 2055. (b) Use the table feature of the graphing utility to create a table of values for the same time period as in part (a). (c) According to the model, during what year will the population of the United States exceed 430 million?
Resale Value: The resale value V, in dollars, of a certain car is a function of the number of year t since the year 2012. In the year 2012, the resale ale is 18,000 and each year thereafter the resale value decreases by 1700. a. What is the resale value in the year 2013? b. Find a formula for V as a function of t. c. Make a graph of V versus t covering the first 4 years since the year 2012. d. Use functional notation to express the resale value in the year 2015, and then calculate that value.
Let f be a function with constant rate of change. Then (a)f is a___________ function and f is the form f(x)=x+ . (b)The graph of f is a ________.
The function g is related to one of the parent functions described in an earlier section. g(x) = -3|x + 1| – 4 (a) Identify the parent function f. f(x) = (b) Describe the sequence of transformations from f to g. (Select all that apply.) O vertical stretch O vertical shift of 4 units downward O vertical shrink O horizontal shift of 1 unit to the left O reflection in the x-axis (c) Sketch the graph of g. y 10 10 -10 -5 5 10 -10 -5 -5 -10 -10 y y 10 10 -10 -5 10 -10 5 (d) Use function notation to write g in terms of f. g(x) = -3
The function g is related to one of the parent functions described in an earlier section. g(x) = 3|x – 1| + 2 (a) Identify the parent function f. f(x) = (b) Describe the sequence of transformations from f to g. (Select all that apply.) O horizontal shift of 1 unit to the right O vertical stretch O reflection in the x-axis vertical shift of 2 units upward O horizontal shift of 1 unit to the left (c) Sketch the graph of g. y 10 10 5 5 - 10 -5 5 10 - 10 -5 10 -5 -10 -10 y y 10 10 5 - 10 -5 10 -10 -5 10 -5 -5 - 10 -10 (d) Use function notation to write g in terms of f. g(x) = + 3f Need Help? Read It
The function g is related to one of the parent functions described in an earlier section. g(x) = x2 - 4 (a) Identify the parent function f. f(x) = (b) Describe the sequence of transformations from f to g. (Select all that apply.) O vertical shrink O horizontal shift of 4 units to the left reflection in the x-axis vertical shift of 4 units upward vertical shift of 4 units downward (c) Sketch the graph of g. y y 2d 20- 10 10 - 20 - 10 10 20 - 20 - 10 10 20 -10 -10 -20- - 20 y y 20- 20 10 10 X - 20 - 10 10 20 - 20 - 10 10 20 -10 -20 (d) Use function notation to write g in terms of f. (x)5
6 18 The Furcony is related to one of the pred SAL *)-(1² De the offroad at that O G verica stihi (h the gr of the b kawi ( x of
g(x) = 1/2 |x − 2| − 5 (a) Identify the parent function f.f(x) =(b) Describe the sequence of transformations from f to g. (Select all that apply.) vertical shrink vertical shift of 5 units upward horizontal shrink vertical shift of 5 units downward horizontal shift of 2 units to the right horizontal shift of 2 units to the left

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