Both the domain and range of the transformed function are the same as those of the parent function.
Option A is the correct answer.
The complete question is
Both the domain and range of the transformed function are the same as those of the parent function.
Neither the domain nor the range of the transformed function are the same as those of the parent function.
The range but not the domain of the transformed function is the same as that of the parent function.
The domain but not the range of the transformed function is the same as that of the parent function
A function is a mathematical statement which defines relationship between a dependent variable and an independent variable.
It is given that
f(x) = |x|
The graph is plotted
When the graph is is reflected across the y-axis and translated to the left 5 units.
When reflected across y axis , g(x) = |-x| = |x|
When translated 5 units to the left , g(x) = |x+5|
Both the graph is plotted and attached with the answer
The domain is the any value that can be an input in the function
domain for both the function is {x≥0}
The range is the value of the function that exists at any given time {y≥0}
From the option given
Both the domain and range of the transformed function are the same as those of the parent function.
Option A is the correct answer.
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