Answer: Choice C) translation 8 units left
Explanation
The parent function is what we always start with. In this case it's f(x) up top.
The goal is to shift f(x) to m(x). We have two options
- Shift 4 units down
- Shift 8 units left
Since "shift 4 units down" isn't one of the choices, we must select "shift 8 units left".
It might help to track an example point. For instance (0,5) is on f(x) and it shifts 8 units left to arrive at (-8,5) on function m(x). GeoGebra can be used to confirm the answer.
Extra info:
The translation rule for "shift 4 units down" would be [tex](\text{x},\text{y})\to(\text{x},\text{y}-4)[/tex] while "shift 8 units left" would be [tex](\text{x},\text{y})\to(\text{x}-8,\text{y})[/tex]
