Find the vertex of the function given below.

y = 3x2 + 6x + 1

Answer: The coordinates of the vertex are : (-1,-2)

Step-by-step explanation: To find the x coordinate, we use the formula:

Xv = - b/2a = - 6 / (2.3) = - 6/6 = - 1

Replacing x by - 1, we write:

y = 3. (-1) ^2 + 6. (-1) + 1 = 3 - 6 + 1 = - 2