The original function is \( f(x) = x^2 \).
To translate this function down 4 units, we subtract 4 from the function:
\[ f(x) = x^2 - 4 \]
To find the x-intercepts, we set the function equal to zero:
\[ x^2 - 4 = 0 \]
Now, we can solve for \( x \):
\[ x^2 = 4 \]
Taking the square root of both sides gives:
\[ x = \pm 2 \]
So the x-intercepts are \( x = 2 \) and \( x = -2 \).
Thus, the correct response is:
x equals negative 2 and x equals 2.