The new function would be f(x) = x² + 1. Option 3
How to get the function
The function here is given by
f(x) = x² +5
If the function is translated to be vertically down by a given number, it mans that number has to subtracted from the constant that is in the function
Hence we would have f(x) = x² +5
f(x) = x² + 5 - 4
The new function would be
f(x) = x² + 1
Hence the third option is correct