To graph the exponential function \( y = 0.5(6^x) \) and identify the y-intercept, let's first evaluate the function at \( x = 0 \):
\[ y = 0.5(6^0) = 0.5(1) = 0.5 \]
Thus, the y-intercept of the function is \( 0.5 \).
So, the correct response is:
0.5