what are the coordinates of the vertex of the graph of the function y=-3x62-12x+3
To find the coordinates of the vertex of the given function, we can use the formula for the x-coordinate of the vertex: x = -b/(2a), where a and b are the coefficients of the x^2 and x terms, respectively.
In this case, the coefficient of the x^2 term is -3 and the coefficient of the x term is -12.
x = -(-12) / (2 * -3)
x = 12 / -6
x = -2
To find the y-coordinate of the vertex, we substitute the x-coordinate (-2) into the original function:
y = -3(-2)^2 - 12(-2) + 3
y = -3(4) + 24 + 3
y = -12 + 24 + 3
y = 15
Therefore, the coordinates of the vertex of the graph of the function y = -3x^2 - 12x + 3 are (-2, 15).