Answer:
The vertex is (-3,0)
Explanation:
Insert the values into the given equation on the assignment in order to get the coordinates of the vertex.
The values are:
a = 1
b = 6
c = 9
For the x coordinate, insert the a and b values into the equation (-b/2a):
-6/(2*1) =
-6/(2) =
-3
So now we know the x value is 3, to find the y value insert the a, b, and c values into the equation -(b^2-4ac)/4a
-(6^2 - (4*1*9))/(4*1) =
-(36-(36))/4 =
-0/4 =
0
So the y value is 0 and the vertex is (x,y), so the vertex is (-3,0)