Answer:
Shift 4 units left, reflected over x-axis, shift two units down.
Step-by-step explanation:
We have been given formula of a parent function and we are asked to find the transformations that are used to get from our given parent function.
Let us recall transformation rules.
,
,
,
,
,
.
Upon looking at our given f(x) and g(x),we can see these transformations:
- Our parent function is shifted to left by 4 units.
- Our parent function is reflected over x-axis.
- Our parent is shifted downwards by 2 units.
Therefore, option A is the correct choice.