Answer: First option.
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.
Then, given the parent function
:
![f(x)=2^x](https://tex.z-dn.net/?f=f%28x%29%3D2%5Ex)
And knowing that the the other function is:
![g(x)=-2^{(x+4)}-2](https://tex.z-dn.net/?f=g%28x%29%3D-2%5E%7B%28x%2B4%29%7D-2)
You can identify that the function
is obtained by:
- Shifting the function
4 units left.
- Reflecting the function
4 over the x-axis.
- Shifting the function
2 units down.