Answer:
The vertex would be D) (-2, -7)
Explanation:
To find the vertex , start by find the x-value. For this we can use the equation below.
x = -b/2a
In which a is the coefficient of x^2 and b is the coefficient of x.
x = -b/2a
x = -(12)/2(3)
x = -12/6
x = -2
Now that we have x, we find y by plugging -2 in for each x.
y = 3x^2 + 12x + 5
y = 3(-2)^2 + 12(-2) + 5
y = 3(4) - 24 + 5
y = 12 - 24 + 5
y = -7