Answer:
C. h(x) = √(x + 4)
Explanation:
h(x) is f(x) shifted 4 units to the left.
To translate a function 4 units to the left, we need to replace x by x + 4, so
h(x) = f(x + 4)
If f(x) = √x, then f(x + 4) = √(x + 4)
Therefore
[tex]\begin{gathered} h(x)=f(x+4) \\ h(x)=\sqrt[]{x+4} \end{gathered}[/tex]
And the answer is
C. h(x) = √(x + 4)
