Question

What value represents the vertical translation from the graph of the parent function f(x) = x2 to the graph of the function

g(x) = (x + 5)2 + 3?

Answer 1

3 is the right answer on ENG 2022

Explanation:

Answer 2

For this case we have that the parent function is given by:

`image`

We apply the following function transformations:

Horizontal translations:

Suppose that h> 0

To graph y = f (x + h), move the graph of h units to the left:

For h = 5 we have:

`image`

Vertical translations:

Suppose that k> 0

To graph y = f (x) + k, move the graph of k units up.

For k = 3 we have:

`image`

Answer:

The value represents the vertical translation from the graph of the parent function is:

3