Answer: To find the vertex of the graph of the equation Y=3x^2+6x+1, we can use the formula:
x = -b/2a
where a = 3 and b = 6, which are the coefficients of the x^2 and x terms, respectively.
x = -6/(2 x 3) = -1
Substituting x = -1 into the equation, we get:
Y = 3(-1)^2 + 6(-1) + 1 = -2
Therefore, the vertex of the graph is (-1, -2), so the answer is A. (-1,-2).
Explanation: