Question

The function h(x) is a transformation of the square root parent function,
f(x) = V2. What function is h(x)?

Answer 1

Answer:

$h(x) = \sqrt{x+5}$, option C.

Step-by-step explanation:

The parent function is $f(x) = \sqrt{x}$

Function h:

Function h is function f shifted left 5 units.

Shifting a function f a units to the left is the same as finding $f(x+a)$

Thus:

$h(x) = f(x+5) = \sqrt{x+5}$

The function is $h(x) = \sqrt{x+5}$, and thus, the correct answer is given by option C.