Answer:
We can start by finding the value of the expression inside the tangent function: tan(1/2 (0 + π/2)) = tan(π/4) = 1
Now we can substitute this value into the original equation and simplify:
y = -3 + tan(1/2 (0 + π/2))
y = -3 + 1
y = -2
The vertical shift of the graph is the constant term in the equation, which is -2. Since this value is negative, the graph is shifted downwards. Therefore, the correct answer is (A) 3 units down