Question

The graph of f(x) = |x| is reflected across the y-axis and translated to the left 5 units. Which statement about the domain and range of each function is correct?

Answer 1

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

What is a 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.

To know more about Function

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