Answer:
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.