well, maybe your software only gives you

**one** transformation. but you were told that the transformation is composed of two transformation..

here are some observation from the original graph:

**first, **notice

and

.. basically, from horizontal, it became vertical.. you may infer that there is an multiple of

rotation. but of course, you should have been taught that

rotation clockwise is the same as

rotation anticlockwise or

rotation anticlockwise is the same as

rotation clockwise; you may infer indirectly that it must be a

rotation anticlockwise..

**problem1:** where is the center of rotation?

**second,** see that

.. so there must be an enlargement with 2 as a factor..

**problem2:** where is the center of enlargement?

if you were able to answer

**problem1, **then

**problem2** can easily be answered by some observations..

hope, this would help you..