Question

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

Answer 1

Vertical translation moves the graph up or down.
3 represents the graph is shifted 3 units up.

Answer 2

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

$f (x) = x ^ 2$

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:

$f (x + 5) = (x + 5) ^ 2$

Vertical translations:

Suppose that k> 0

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

For k = 3 we have:

$g (x) = (x + 5) ^ 2 + 3$

Answer:

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

3