Question

Which describes how to graph h (x) = negative RootIndex StartRoot x + 8 EndRoot by transforming the parent function?

Reflect the parent function over the y-axis, and translate it 3 units to the right.
Reflect the parent function over the y-axis, and translate it 3 units to the left.
Reflect the parent function over the x-axis, and translate it 8 units to the right.
Reflect the parent function over the x-axis, and translate it 8 units to the left.

Answer 1

Answer:

Reflect the parent function over the x-axis, and translate it 8 units to the left.

Step-by-step explanation:

The given function is

$y = - \sqrt{x + 8}$

The parent function is

$y = \sqrt{x}$

Since there is a negative multiply the transformed function, there is a reflection in the x-axis.

Since 8 is adding, within the square root, there is a horizontal translation of 8 units to the left.

Therefore to graph the given function, reflect the parent function over the x-axis, and translate it 8 units to the left.

Answer 2

Take the reflection of the graph about the x-axis and then translate the graph of the function by 8 units in the left direction and this can be determined by using the rules of transformation.

Given :

Function  --  $\rm y = - \sqrt{x+8}$

The following steps can be used in order to determine the correct statement:

Step 1 - The parent function is given below:

$\rm y = \sqrt{x}$

Step 2 - Now, draw the graph of the parent function.

Step 3 - Take the reflection of the graph about the x-axis. So, the function becomes:

$y =- \sqrt{x}$

Step 4 - Now, translate the graph of the function obtained in the above step by 8 units in the left direction. So, the function becomes:

$y = -\sqrt{x+8}$

Therefore, the correct option is D).

For more information, refer to the link given below:

https://brainly.com/question/14375099