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?

Square (x - 3), and 12, and subtract 3 from x.
Subtract 3 from x, multiply 2, and add 12
Subtract 3 from x, square (x - 3), and add 12
Square (x - 3), subtract 3, and add 12

Answer 1

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

Reason: f(u) = u^2 + 12. To get f(x−3) replace u by x−3: first form x−3, then square it to get (x−3)^2, then add 12 to get (x−3)^2 + 12.