Concept explainers
a)
To write: How the function g is related to function f.
a)
Answer to Problem 56HP
Function g is obtained by shifting f, 3 units upward.
Explanation of Solution
Given information: A function
Formula used: By rule, in a function of the form
Calculation: Given function in above form can be written as:
So, function g is obtained by shifting original function f, 3 units in upward direction.
Conclusion: So, function g is obtained by doing 3 units upwards translation to original function f.
b)
To write: How the function h is related to function f.
b)
Answer to Problem 56HP
Function g is obtained by shifting f, 3 units upward, function h is obtained by rotating f over the y axis and k is obtained by shifting original function f, 1 unit in right direction and 5 units in upward direction.
Explanation of Solution
Given information: A function
Calculation: Given function in above form can be written as:
So, function h is obtained by rotating along vertical y axis.
Conclusion: So, function, h is obtained by doing above transformations in the original given function f.
c)
To write: How the function k is related to function f.
c)
Answer to Problem 56HP
Function k is obtained by shifting original function f, 1 unit in right direction and 5 units in upward direction.
Explanation of Solution
Given information: A function
Formula used: By rule, in a function of the form
Calculation: Given function k is already in said format, so it is obtained on shifting original function f by 1 units right and 5 units upward.
Conclusion: So, function k is obtained by doing above transformations in the original given function f.
Chapter 3 Solutions
Algebra 1, Homework Practice Workbook (MERRILL ALGEBRA 1)
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