Question

Describe how to translate the graph of y=sqrt x to obtain the graph of y=sqrt x+20

Answer 1

To translate the graph of

�

=

�

y=

x

​

to obtain the graph of

�

=

�

+

20

y=

x

​

+20, you need to shift the entire graph vertically upwards by 20 units.

Explanation:

Answer 2

The parent funcion is:

For this case we have two possible cases:

Case 1:

If the new function is:

We have the following transformation:

Horizontal translations:

Suppose that h> 0

To graph y = f (x-h), move the graph of h units to the right.

Answer:

shift right 15 units

Case 2:

If the function is:

We have the following transformation:

Vertical translations:

Suppose that k> 0

To graph y = f (x) -k, move the graph of k units down.

Answer:

shift down 15 units

Explanation: