Question

To transform f(x)=x2+12 to f(x−3), which of the following shows the order in which operations should be performed? (1 point)
Responses

Subtract 3 from x, multiply by 2, and add 12.
Subtract 3 from x,  multiply by 2, and add 12.

Square (x−3), add 12, and subtract 3 from x.
Square left parenthesis x minus 3 right parenthesis , add 12, and subtract 3 from x.

Subtract 3 from x, square (x−3), and add 12.
Subtract 3 from x,  square  left parenthesis x minus 3 right parenthesis , and add 12.

Square (x−3), subtract 3, and add 12.

Answer 1

To transform \( f(x) = x^2 + 12 \) to \( f(x-3) \), you need to substitute \( x-3 \) into the function. Here’s how you would do it step by step:

1. **Subtract 3 from x** to get \( x-3 \).
2. **Square \( (x-3) \)** to find \( (x-3)^2 \).
3. **Add 12** to get the final result \( (x-3)^2 + 12 \).

Based on the options you provided, the correct order of operations should be:

- Subtract 3 from x, square \( (x-3) \), and add 12.

So the correct response is:

**Subtract 3 from x, square (x−3), and add 12.**