What are the coordinates of the vertex of the graph of the function y = - 3x² - 12x + 3? A. (-2, 29) B. (2, - 15) C. (2, - 9) D. (-2, 15)

D (-2,15)

Step-by-step explanation:

To find the vertex from the standard form of the equation, use the formula x = - b/2a. Then substitute the x value into the equation to find the y value.

Here a = - 3 and b = - 12.

So x = - (-12) / 2 (-3) = 12 / - 6 = - 2.

Substitute x = - 2 and solve for y.

y = - 3 (-2) ^2 - 12 (-2) + 3

y = - 3 (4) + 24 + 3

y = - 12 + 24 + 3

y = 12 + 3

y = 15