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)

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

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

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

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

Answer 1

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

Reason: f(x−3) means replace x by (x−3), so compute (x−3) first, then square it, then add 12. (f(x−3) = (x−3)^2 + 12.)