Which of the following statements best describes the affect of replacing the graph of y=f(x) with the graph of y=f(x)-11?

Hello!

There are different ways that graphs can move around a graph. It can rotated and translated. For vertical shifts, if f(x) + k, then the function shifts up k units and, if f(x) - k, then the function shifts down k units.

Since y = f(x) - 11, the function shifts down 11 units because it follows the format f(x) - k, and in this case k is equal to 11.

Therefore, the correct answer is choice D, the graph of y = f(x) will shift down 11 units.

hello,

as we don't know if g(x) is continue,

answer b

f(x)=2x²-8x+1=2(x²-4x+4)+1-8=2(x-2)²-7

vertex is (2,-7) ( a minimum since coefficient of x² is > 0)