Which of these is the standard form of the following function? f(x)=7(x-1)^2+3 A. f(x)=7x^2-14x+10 B. f(x)=7x^2-14x-10 C f(x)=-7x^2-14x+10 D f(x)=-7x^2-14x-10 D C B A

To find the standard form of the function $f(x)=7(x-1)^{2}+3$, we need to expand the expression inside the parentheses and then distribute the 7.<br /><br />Expanding the expression inside the parentheses:<br />$(x-1)^{2} = x^2 - 2x + 1$<br /><br />Now, distribute the 7:<br />$7(x^2 - 2x + 1) = 7x^2 - 14x + 7$<br /><br />Finally, add the constant term 3:<br />$7x^2 - 14x + 7 + 3 = 7x^2 - 14x + 10$<br /><br />Therefore, the standard form of the function is $f(x) = 7x^2 - 14x + 10$.<br /><br />The correct answer is A. $f(x)=7x^{2}-14x+10$.