Question

The graph of f(x) = |x| is reflected across the x-axis and translated to the right 6 units. Which statement about the domain and range of each function is correct? 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 of the transformed function is the same as the parent function, but the domains of the functions are different. The domain of the transformed function is the same as the parent function, but the ranges of the functions are different.

Answer 1

D- The domain of the transformed function is the same as the parent function, but the ranges of the functions are different.

Explanation:

Got it right

Answer 2

The domain of the transformed function is the same as the parent function, but the ranges of the functions are different.

Explanation:

The domain is of the parent function is
`\text{D: }(-\infty, \infty)` and the range is
`\text{R: }[0,\infty)`. The reflection over the x-axis and translation does not change the domain. However, the transformed function's range is
`\text{R: }(-\infty,0]`. Therefore, the domain of the transformed function is the same as the parent function, but the ranges of the functions are different.