Combined Transformation (Part 2)

Author:
ZQ

Now let's look at what happens outside the bracket (which applies to y)

We had from the previous part and eventually we want to arrive at

Which of the following order of transformation should be the correct one?

1. Vertical Translation of 2 units downwards 2. Vertical stretching of scale factor 2 vertically

OR

1. Vertical Stretching of scale factor 2 vertically 2. Vertical translation of 2 units downwards.
Finally, can you sketch the final graph of You can check your answer using the applet which uses below.
Alternatively, you can try using the formula . Note: the order of transformation is different from the above when using