Which of the following describes the transformation of g (x) = 3 (2) superscript negative x baseline + 2 from the parent function f (x) = 2 superscript x? reflect across the x-axis, stretch the graph vertically by a factor of 3, shift 2 units up reflect across the y-axis, stretch the graph vertically by a factor of 2, shift 3 units up reflect across the x-axis, stretch the graph vertically by a factor of 2, shift 3 units up reflect across the y-axis, stretch the graph vertically by a factor of 3, shift 2 units up

Reflect across the y-axis.

Stretch by a factor of 3.

Shift 2 units up.

Step-by-step explanation:

Below are some transformations for a function   :

1. If , the function is shifted "k" units up.

2. If , the function is shifted "k" units down.

3. If , the function is shifted "k" units right.

4. If , the function is shifted "k" units left.

5. If , the function is reflected over the x-axis.

6. If , the function is reflected over the y-axis.

7. If and , the function is  stretched vertically by a factor of "b".

8. If and the function is compressed vertically by a factor of "b".

Then, given the parent function   :

And knowing that the other function is:

You can identify that the function is obtained by:

-  Reflecting the function   across the y-axis.

-  Stretching the function  vertically by a factor of 3.

- Shifting the function 2 units up.