Question

The function h(x) is a transformation of the square root parent function,f(x) = Vx: What function is h(x)?

Answer 1

C. h(x) = √(x + 4)

Step-by-step 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

`\begin{gathered} h(x)=f(x+4) \\ h(x)=\sqrt[]{x+4} \end{gathered}`

And the answer is

C. h(x) = √(x + 4)