To transform f(x)=x2+12 to f(x−3), which of the following shows the order in which operations should be performed?
To transform f(x) = x^2 + 12 to f(x−3), we need to substitute (x-3) for x in the original equation.
The correct order of operations is as follows:
1. Subtract 3 from x: x - 3
2. Square the result: (x - 3)^2
3. Add 12 to the squared result: (x - 3)^2 + 12
Therefore, the correct order of operations is the third option:
1. (x - 3)^2
2. (x - 3)^2 + 12