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(z), one example of a ransformation of the function y = f(z), in symbolic function notation, is y = f(z) +2. The corresponding expression in WORDS of what happens to the graph of the function y = f(z) is Fa vertical shift up by 2". Transformation in terms of y = h(t) symbolic function notation is: Enter your answer here n words, describe what happens to the graph of y = h(t). Enter your answer here Save Answer 01.2 Part b) Recall that the linear cost function consists of production cost per item times the number of tems produced, plus any additional fixed costs (fixed cost includes items such as rent, utilites, etc). Company Sound makes speakers. Let y = c{z) model the monthly linear cost function that Company Sound uses to determine the cost to make speakers, in dollars, where z is the number of speaker sets produced. Company Sound rents the building where the speakers are produced. Given the recent rental acancies in the neighborhood local to the building where the Company Sound production actory 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 or Company Sound as a transformation of the function y = c(z). Using words, describe what nannens to the granh of the function u C(z)

Algebra and Trigonometry (6th Edition)
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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). .
Q4 Transformations Speeding Application
On most state highways, the fine for speeding depends on the speed of the car. In a certain
state, suppose the fine for speeding. f(n). in dollars, is a function of the number of miles per
hour over the speed imit, n. The graph of this function is shown below. The horizontal axis is
the number of miles per hour ABOVE the speed imit, n, and the vertical axdis is the fine,f (n), in
dollars, the driver must pay.
$250
$200
$50
25 20
20
15
20
35
Number of miles per hour above the speed limit
For each of the following situations, do the following:
1 Write a function, using symbolic function natation, as a transformation in terms of f (n).
2) Given a point on the original graph, determine the point location of the point on the graph of
the transformed function
(Hint: Do nat try to find a formula for fin). Apply the transformations to point. Parts a b and care
completely different scenarios.)
Q4.1 Part a)
The state determines that the fine at every speed should go up by $15.
Transformed function in symbolic function notation in terms of f(n).
Enter your answer here
Given the point (10,50) on the ariginal graph, determine the point an the graph of the new
transformed function.
Enter your answer here
Save Answer
Q4.2 Part b)
The state determines that in construction zones, the fines at every speed should be two and a
half times the regular fine.
Transformed function in symbolic function notation in terms of f(n).
Enter your answer here
Given the point (10,50) on the ariginal graph, determine the paint on the graph of the new
transformed function.
Enter your answer here
Transcribed Image Text:Q4 Transformations Speeding Application On most state highways, the fine for speeding depends on the speed of the car. In a certain state, suppose the fine for speeding. f(n). in dollars, is a function of the number of miles per hour over the speed imit, n. The graph of this function is shown below. The horizontal axis is the number of miles per hour ABOVE the speed imit, n, and the vertical axdis is the fine,f (n), in dollars, the driver must pay. $250 $200 $50 25 20 20 15 20 35 Number of miles per hour above the speed limit For each of the following situations, do the following: 1 Write a function, using symbolic function natation, as a transformation in terms of f (n). 2) Given a point on the original graph, determine the point location of the point on the graph of the transformed function (Hint: Do nat try to find a formula for fin). Apply the transformations to point. Parts a b and care completely different scenarios.) Q4.1 Part a) The state determines that the fine at every speed should go up by $15. Transformed function in symbolic function notation in terms of f(n). Enter your answer here Given the point (10,50) on the ariginal graph, determine the point an the graph of the new transformed function. Enter your answer here Save Answer Q4.2 Part b) The state determines that in construction zones, the fines at every speed should be two and a half times the regular fine. Transformed function in symbolic function notation in terms of f(n). Enter your answer here Given the point (10,50) on the ariginal graph, determine the paint on the graph of the new transformed function. Enter your answer here
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