The x-values in the table for f(x) were multiplied by -1 to create the table for g(x). What is the relationship between the graphs of the two functions?f(x)x y-2 -31-1 01 22 33g(x)x y2 -311 0-1 2-2 33A.They are reflections of each other across the y-axis.B.They are reflections of each other over the line x = y.C.They are reflections of each other across the x-axis.D.The graphs are not related.SUBMITarrow_backPREVIOUS
Question
The x-values in the table for f(x) were multiplied by -1 to create the table for g(x). What is the relationship between the graphs of the two functions?f(x)x y-2 -31-1 01 22 33g(x)x y2 -311 0-1 2-2 33A.They are reflections of each other across the y-axis.B.They are reflections of each other over the line x = y.C.They are reflections of each other across the x-axis.D.The graphs are not related.SUBMITarrow_backPREVIOUS
Solution
The relationship between the graphs of the two functions f(x) and g(x) is that they are reflections of each other across the y-axis. This is because when the x-values in the table for f(x) are multiplied by -1, the x-values for g(x) are obtained. This operation of multiplying by -1 results in a reflection across the y-axis. Therefore, the correct answer is A. They are reflections of each other across the y-axis.
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