Let y = h(t) be the function that models the height of a rocket, in feet, that is projected from the ground after t seconds. Using symbolic function notation, write the function that models the height of the rocket if it is projected from a platform that is 50 feet tall, as a transformation of the function y = h(t). Using words, describe what happens to the graph of the function y = h(t). You MUST use symbolic function notation. For example, if y = f(x), one example of a transformation of the function y = f(x), in symbolic function notation, is y = f(x) + 2. The corresponding expression in WORDS of what happens to the graph of the function y = f(x) is "a vertical shift up by 2". Transformation in terms of y = h(t) symbolic function notation is: Enter your answer here In words, describe what happens to the graph of y = h(t). Enter your answer here Save Answer Q1.2 Part b) Recall that the linear cost function consists of production cost per item times the number of items produced, plus any additional fixed costs (fixed cost includes items such as rent, utilites, etc.). Company Sound makes speakers. Let y = e(x) model the monthly linear cost function that Company Sound uses to determine the cost to make speakers, in dollars, where a is the number of speaker sets produced. Company Sound rents the building where the speakers are produced. Given the recent rental vacancies in the neighborhood local to the building where the Company Sound production factory is, the landlord decides to drop Company Sound's rent by a $1000 per month. Using symbolic function notation, write the function that models the new monthly linear cost function for Company Sound as a transformation of the function y = c(z). Using words, describe what happens to the graph of the function y = c(x).

Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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Let y = h(t) be the function that models the height of a rocket, in feet, that is projected from
the ground after t seconds. Using symbolic function notation, write the function that models
the height of the rocket if it is projected from a platform that is 50 feet tall, as a transformation
of the function y = h(t). Using words, describe what happens to the graph of the function
y = h(t).
You MUST use symbolic function notation. For example, if y = f(x), one example of a
transformation of the function y = f(2), in symbolic function notation, is y = f(x) + 2. The
corresponding expression in WORDS of what happens to the graph of the function y = f(z) is
"a vertical shift up by 2".
Transformation in terms of y = h(t) symbolic function notation is:
Enter your answer here
In words, describe what happens to the graph of y = h(t).
Enter your answer here
Save Answer
Q1.2 Part b)
Recall that the linear cost function consists of production cost per item times the number of
items produced, plus any additional fixed costs (fixed cost includes items such as rent, utilites,
etc.). Company Sound makes speakers. Let y = c(x) model the monthly linear cost function
that Company Sound uses to determine the cost to make speakers, in dollars, where a is the
number of speaker sets produced.
Company Sound rents the building where the speakers are produced. Given the recent rental
vacancies in the neighborhood local to the building where the Company Sound production
factory is, the landlord decides to drop Company Sound's rent by a $1000 per month. Using
symbolic function notation, write the function that models the new monthly linear cost function
for Company Sound as a transformation of the function y = c(x). Using words, describe what
happens to the graph of the function y = c(x).
You MUST use symbolic function notation. For example, if y = f(x), one example of a
transformation of the function y = f(x), in symbolic function notation, is y = f(x) + 2. The
corresponding expression in WORDS of what happens to the graph of the function y = f(x) is
"a vertical shift up by 2".
Transformation in terms of y = c(r) is:
Enter your answer here
In words, describe what happens to the graph of y = c(z). .
Transcribed Image Text:Let y = h(t) be the function that models the height of a rocket, in feet, that is projected from the ground after t seconds. Using symbolic function notation, write the function that models the height of the rocket if it is projected from a platform that is 50 feet tall, as a transformation of the function y = h(t). Using words, describe what happens to the graph of the function y = h(t). You MUST use symbolic function notation. For example, if y = f(x), one example of a transformation of the function y = f(2), in symbolic function notation, is y = f(x) + 2. The corresponding expression in WORDS of what happens to the graph of the function y = f(z) is "a vertical shift up by 2". Transformation in terms of y = h(t) symbolic function notation is: Enter your answer here In words, describe what happens to the graph of y = h(t). Enter your answer here Save Answer Q1.2 Part b) Recall that the linear cost function consists of production cost per item times the number of items produced, plus any additional fixed costs (fixed cost includes items such as rent, utilites, etc.). Company Sound makes speakers. Let y = c(x) model the monthly linear cost function that Company Sound uses to determine the cost to make speakers, in dollars, where a is the number of speaker sets produced. Company Sound rents the building where the speakers are produced. Given the recent rental vacancies in the neighborhood local to the building where the Company Sound production factory is, the landlord decides to drop Company Sound's rent by a $1000 per month. Using symbolic function notation, write the function that models the new monthly linear cost function for Company Sound as a transformation of the function y = c(x). Using words, describe what happens to the graph of the function y = c(x). You MUST use symbolic function notation. For example, if y = f(x), one example of a transformation of the function y = f(x), in symbolic function notation, is y = f(x) + 2. The corresponding expression in WORDS of what happens to the graph of the function y = f(x) is "a vertical shift up by 2". Transformation in terms of y = c(r) is: Enter your answer here In words, describe what happens to the graph of y = c(z). .
Q1.3 Part c)
To help maintain a clean air environment in their main building, a company runs a ventilation
unit 10 hours a day, within the time period from 12:00 am to 11:59 pm. The ventilation unit
produces the same volume of air regardless of the time of day. The ventilation unit is turned on
at 12:00 am every day. Let y = v(t) be the function that madels the volume of air, in cubic feet,
that is produced from the ventilation unit at time t, where f is the number of hours since 12:00
am.
To help with utility costs, the manager decides to wait until 6:00 am to start the ventilation unit.
Using function natation, write the function that models the volume of air, in cubic feet, that is
produced when the ventilation unit is turned on at 6:00 am rather than at 12:00 am, as a
transformation of the function y = v(t). Using words, describe what happens to the graph of
the function y = v(t).
You MUST use symbolic function notation. For example, if y = {(z), one example of a
transformation of the function y-fix), in symbolic function natation, is y = /(2) +2. The
corresponding expression in WORDS of what happens to the graph of the function y = f(z)
is "a vertical shift up by 2".
Transformation in terms of y= v(t) is
Enter your answer here
In words, describe the what happens to the graph of y = v(t). (1 point)
Enter your answer here
Save Answer
Q1.4 Part d)
To help maintain a clean air environment in their main building, a company runs a ventilation
unit 10 hours a day, within the time periad from 12:00 am to 11:59 pm. The ventilation unit
produces the same volume of air, regardiess of the time of day. The ventlation unit is turned on
at 12:00 am every day. Let y = v(t) be the function that madels the volume of air, in cubic feet,
that is produced from the ventilation unit at time t, where f is the number of hours since 12:00
am.
After receiving complaints from the night shift, the company decides that in order to
accommodate the night shift, the manager will start the ventilation unit at 1:00 pm rather than at
12:00 am. Using function notation, write the function that models the valume of alr, in cubic feet,
that is produced when the unit is turned at 1:00 pm rather than at 12:00 am, as a transformation
of the function y = v(t). Using words, describe what happens to the graph of the function
y= v(t).
You MUST use symbolic function notation. For example, if y = f(z), one example of a
transformation of the function y = f(r), in symbolic function natation, is y = f(z) + 2. The
corresponding expression in WORDS of what happens to the graph of the function y = f(z)
is "a vertical shift up by 2".
Transformation in terms of y= v(t) is
Enter your answer here
In words, describe the what happens to the graph of y = v(t).
Enter your answer here
Transcribed Image Text:Q1.3 Part c) To help maintain a clean air environment in their main building, a company runs a ventilation unit 10 hours a day, within the time period from 12:00 am to 11:59 pm. The ventilation unit produces the same volume of air regardless of the time of day. The ventilation unit is turned on at 12:00 am every day. Let y = v(t) be the function that madels the volume of air, in cubic feet, that is produced from the ventilation unit at time t, where f is the number of hours since 12:00 am. To help with utility costs, the manager decides to wait until 6:00 am to start the ventilation unit. Using function natation, write the function that models the volume of air, in cubic feet, that is produced when the ventilation unit is turned on at 6:00 am rather than at 12:00 am, as a transformation of the function y = v(t). Using words, describe what happens to the graph of the function y = v(t). You MUST use symbolic function notation. For example, if y = {(z), one example of a transformation of the function y-fix), in symbolic function natation, is y = /(2) +2. The corresponding expression in WORDS of what happens to the graph of the function y = f(z) is "a vertical shift up by 2". Transformation in terms of y= v(t) is Enter your answer here In words, describe the what happens to the graph of y = v(t). (1 point) Enter your answer here Save Answer Q1.4 Part d) To help maintain a clean air environment in their main building, a company runs a ventilation unit 10 hours a day, within the time periad from 12:00 am to 11:59 pm. The ventilation unit produces the same volume of air, regardiess of the time of day. The ventlation unit is turned on at 12:00 am every day. Let y = v(t) be the function that madels the volume of air, in cubic feet, that is produced from the ventilation unit at time t, where f is the number of hours since 12:00 am. After receiving complaints from the night shift, the company decides that in order to accommodate the night shift, the manager will start the ventilation unit at 1:00 pm rather than at 12:00 am. Using function notation, write the function that models the valume of alr, in cubic feet, that is produced when the unit is turned at 1:00 pm rather than at 12:00 am, as a transformation of the function y = v(t). Using words, describe what happens to the graph of the function y= v(t). You MUST use symbolic function notation. For example, if y = f(z), one example of a transformation of the function y = f(r), in symbolic function natation, is y = f(z) + 2. The corresponding expression in WORDS of what happens to the graph of the function y = f(z) is "a vertical shift up by 2". Transformation in terms of y= v(t) is Enter your answer here In words, describe the what happens to the graph of y = v(t). Enter your answer here
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