Question

The function h(x) is a transformation of the square root parent function,

Answer 1

Answer:

A. $h(x)=\sqrt{x-3}$

Step-by-step explanation:

Step 1: Definition

The parent function of $\sqrt{x}$ is translated to the left when $h$ is positive in the transformation $\sqrt{x+h}$.

If $h$ is negative, the graph translates towards the left with the distance equal to the value of $h$.

Step 2: Implementation

Here the graph moved 3 units towards the right. This means that $h$ is negative and has the value of 3.

So, plugging that into the parent function for translation, the function becomes:

$h(x)=\sqrt{x-3}$