For what value of x will `f(x)=(1-2x)^(2)` have the minimum value ?

Options

A. `-1`
B. `-(1)/(2)`
C. 0
D. `(1)/(2)`

Answer

D

Explanation

The expression `(1-2x)^(2)` is something squared. A real number squared cannot be smaller than 0. This function will have its minimum value when the part inside the parentheses is zero :
`1-2x=0`
`-2x=-1`
`x=(1)/(2)`