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

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 :-

[tex]\implies (a-b)^2= a^2-2ab + b^2[/tex]

Whole square term :-

[tex]\implies (x-3)^2= x^2+9-6x [/tex]

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

[tex]\implies f(x) = (2x^2+18-12x )+ 4 [/tex]

Add the constant terms .

[tex]\implies f(x) = 2x^2-12x + 22 [/tex]

Hence the second option is correct .

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

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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