An independent variable is something that isn't dependent on anything else. Whose laying the eggs? The hens right? So the number of eggs laid is dependent on the number of hens laying them. Basically the hens are the independent variable because the number of eggs is relying on the number of hens laying them.
Ok so your original equation was y=4(x-2)²-1 Therefore we need to expand the bracket to find the original equation. To do this we need to find (x-2)²=x²-4x+4 Now we multiply this by 4 and subtract 1 4x²-16x+15 Therefore B is the answer