Which of the following functions is equivalent to f(x) = 2( x - 3)2 + 4 -
O f(x) = 2x2 - 6x + 4
O f(x) = 2x2 – 12x + 22
O f(x) = 2x2 + 18x + 4
O f(x) = 2x2 + 12x – 22

Step-by-step explanation:

Given :-

And we need to find out the function from the given options which is equivalent to the given function . For that firstly simplify the whole square term , that is ,

Using Identity :-

Whole square term :-

Now multiply the constant term outside the bracket to it . As ,

Add the constant terms .

Hence the second option is correct .