Starting with the graph of f(x) = 4^x, find a formula for the function that results from: a. shifting 4 units upwards b. shifting 3 units downwards c. shifting 2 units left d. shifting 5 units right e. reflecting about the x-axis f. reflecting about the y-axis

Starting with the graph of f(x) = 4^x, find a formula for the function that results from: a. shifting 4 units upwards b. shifting 3 units downwards c. shifting 2 units left d. shifting 5 units right e. reflecting about the x-axis f. reflecting about the y-axis

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Question

Starting with the graph of f(x) = 4^x, find a formula for the function that results from:

a. shifting 4 units upwards

b. shifting 3 units downwards

c. shifting 2 units left

d. shifting 5 units right

e. reflecting about the x-axis

f. reflecting about the y-axis

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