Answer:
(-2, 15)
Explanation:
y = -3x^2 - 12x + 3
a = -3
b = -12
c = 3
the formula for finding the x value of the vertex is -b/2a
so if we plug in the values into the equation we get
-(-12)/2(-3) = 12/-6 = -2
so our x value is -2
to find our y value we have to plug in -2 for every x we see in the original equation
so -3(-2)^2 - 12(-2) + 3 = -12 + 24 + 3 = 15
15 is our y value
so the vertex is (-2, 15)