Question

to transform f(x) = x^2 + 12 to f (x - 3), which of the following shows the order in which operations should be performed

Answer 1

To transform the function \( f(x) = x^2 + 12 \) to \( f(x - 3) \), you should follow these steps in order:

1. Replace \( x \) in the original function \( f(x) \) with \( (x - 3) \).
2. Calculate the value of \( (x - 3)^2 \).
3. Add 12 to the result from step 2.

So the operation sequence can be summarized as:

1. Substitute \( x \) with \( (x - 3) \):
\( f(x - 3) = (x - 3)^2 + 12 \)

2. Compute \( (x - 3)^2 \).

3. Add 12 to the result.

This will give you the transformed function \( f(x - 3) \).