Let's take the first derivative:

Notice that we can write this as:

By taking the derivative of both sides
times, we get:

This means that each time you take a derivative, a factor of
will appear. So we conclude that:

Taking
and
, we get:

So we finally get:

Answer:
see attached graphs
Step-by-step explanation:
<u>Transformations</u>
For a > 0








Parent function: 
Each transformation is a transformation of the parent function only:
<u>Translation of 4 units down</u>


<u>A stretch by a factor of 3</u>


<u>A reflection and a translation 1 unit up</u>


Green:50%
purple:25%
black:25%
hope it helped I answered it myself and I got it right