The graph of the function y = x2 + 2 is shown. which equation will shift the graph of the function down 4 units?
a) y = x2 + 6
b) y = x2 - 2
c) y = (x + 4)2 + 2
d) y = (x - 4)2 + 2

OPTION B.

Step-by-step explanation:

Below are shown some transformations for a function f(x):

1) If , the function is shifted up "k" units.

2) If , the function is shifted down "k" units.

In this case you have the following function, which you can call f(x):

Based on the transformations explained before, if this function is shifted down 4 units, you know that function obtained g(x) is:

Therefore, the equation that will shift the graph of the function down 4 units, is: