To transform f(x)=x2+12

Question

to f(x−3)
, which of the following shows the order in which operations should be performed? (1 point)
Responses

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

Square (x−3)
, subtract 3, and add 12.

Answer 1

To transform the function \( f(x) = x^2 + 12 \) into \( f(x - 3) \), we need to replace \( x \) with \( x - 3 \) in the original function. The steps to perform this transformation are:

1. Subtract 3 from \( x \) (resulting in \( x - 3 \)).
2. Square \( (x - 3) \).
3. Add 12 to the squared result.

Therefore, the correct order of operations is:

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