Answer:
D
Step-by-step explanation:
When functions are transformed there are a few simple rules:
• Adding/subtracting inside the parenthesis to the input shifts the function left(+) and right(-).
• Adding/subtracting outside the parenthesis to the output shifts the function up(+) and down(-).
• Multiplying the function by a number less than 1 compresses it towards the x-axis.
• Multiplying the function by a number greater than 1 stretches it away from the x-axis.
The parent function is f(f) = |x|. Since it needs to be shifted to the left, use the first rule above which is to subtract from the input inside the absolute value.
f(x) = |x-3|
