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

[0, +infinity).

Step-by-step explanation:

I believe you mean f(x) = |x|.  This function, the "absolute value function," is v-shaped with vertex as (0,0), opening up.  The domain is the set of all real numbers, and the range is [0, +infinity).

If this graph is translated 5 units to the left, the domain remains the same:  all real numbers.  Likewise, the range remains the same:  [0, +infinity).

i just took the test, the correct answer is .. 31.5 in.