Answer:
Maximum Value / Vertex : (-2,16)
Step-by-step explanation:
Since the value of a is negative, we will solve for the maximum.
Finding the x-value of the vertex of the parabola is x=-b/2a:
x=-(-4)/2(-1)
x=4/-2
x=-2
Now if we plug x=-2 into the function, we'll get our y-value for the vertex:
f(-2)=-(-2)^2-4(-2)+12
f(-2)=-(4)+8+12
f(-2)=-4+20
f(-2)=16
So the vertex of our parabola is (-2,16) which is our maximum value
