6. Directions Drag and drop the correct answer choice to each answer blank. Or,touch the answer choice followed by the answer blank. Given the function f(x)=3(x-2)^2-8 write a function that is equivalent. Move the correct answer to each box. Not all answers will be used. square :1 12 : 12 f(x)=boxed (:3)x^2+boxed (:-12)x+boxed (:4)

To find an equivalent function to $f(x)=3(x-2)^{2}-8$, we need to expand the expression and simplify it.<br /><br />Step 1: Expand the expression $(x-2)^{2}$.<br />$(x-2)^{2} = x^2 - 4x + 4$<br /><br />Step 2: Multiply the expanded expression by 3.<br />$3(x^2 - 4x + 4) = 3x^2 - 12x + 12$<br /><br />Step 3: Subtract 8 from the result.<br />$3x^2 - 12x + 12 - 8 = 3x^2 - 12x + 4$<br /><br />Therefore, the equivalent function is $f(x) = 3x^2 - 12x + 4$.<br /><br />So, the correct answer choices are:<br />$\boxed{3}$<br />$\boxed{-12}$<br />$\boxed{4}$