1. a. Graph the function f(x) = 2* in an appropriate window on the graphing calculator or Desmos. b. Shift the graph 2 units to the right and graph it on the same set of axes. Write the new function in terms of f and in terms of x. c. Now reflect that graph in the x-axis and graph it on the same set of axes. Write the new function in terms of f and in terms of x. d. Finally, stretch that graph vertically by a factor of 4 and graph it on the same set of axes. Write the new function in terms of f and in terms of x. e. Provide an image of your four graphs.
1. a. Graph the function f(x) = 2* in an appropriate window on the graphing calculator or Desmos. b. Shift the graph 2 units to the right and graph it on the same set of axes. Write the new function in terms of f and in terms of x. c. Now reflect that graph in the x-axis and graph it on the same set of axes. Write the new function in terms of f and in terms of x. d. Finally, stretch that graph vertically by a factor of 4 and graph it on the same set of axes. Write the new function in terms of f and in terms of x. e. Provide an image of your four graphs.
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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![1.
a. Graph the function f(x) = 2* in an appropriate window on the graphing calculator or
Desmos.
b. Shift the graph 2 units to the right and graph it on the same set of axes. Write the new
function in terms of f and in terms of x.
c. Now reflect that graph in the x-axis and graph it on the same set of axes. Write the new
function in terms of f and in terms of x.
d. Finally, stretch that graph vertically by a factor of 4 and graph it on the same set of axes.
Write the new function in terms of f and in terms of x.
e. Provide an image of your four graphs.
2. Suppose I invested $5,000 in one account that earns 4.75% interest compounded
continuously, and $5,000 in another account that earns 4.8% compounded semi-
annually (twice a year).
a. What amount is in each account after 10 years?
b. How long does it take each account to double in value? Show a graphical solution with
the intersection points labeled.
c. Based on your answers to a and b, which account has the higher APY?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F54f08b35-959a-49bc-910a-bd7e5f18084e%2F5bfce973-ad13-4d1d-9bce-4f901f8e0764%2Fuyp341f_processed.jpeg&w=3840&q=75)
Transcribed Image Text:1.
a. Graph the function f(x) = 2* in an appropriate window on the graphing calculator or
Desmos.
b. Shift the graph 2 units to the right and graph it on the same set of axes. Write the new
function in terms of f and in terms of x.
c. Now reflect that graph in the x-axis and graph it on the same set of axes. Write the new
function in terms of f and in terms of x.
d. Finally, stretch that graph vertically by a factor of 4 and graph it on the same set of axes.
Write the new function in terms of f and in terms of x.
e. Provide an image of your four graphs.
2. Suppose I invested $5,000 in one account that earns 4.75% interest compounded
continuously, and $5,000 in another account that earns 4.8% compounded semi-
annually (twice a year).
a. What amount is in each account after 10 years?
b. How long does it take each account to double in value? Show a graphical solution with
the intersection points labeled.
c. Based on your answers to a and b, which account has the higher APY?
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