Question

What is the vertex of the graph of y = 3x2 + 2x + 1?
A.-1/3, 0
B.-1/3, 2/3
C.1/3, 2
D.2/3, 11/3

Answer 1

y=3(0)^2 +2(0)+1
y=0+0+1
y=1

Answer 2

th vertex (turning point) is the point at which it reaches zero

Answer 3

no, it does not seem to be one of the options

Answer 4

the solution involves complex numbers, so there is no simple solution

Answer 5

When the parabola is given in the quadratic form, such as yours is: You can find the x coordinate of the vertex by using -b/(2a) For this particular parabola after plugging in the values of a and b, the x value is -2/2*3 or -1/3. So the vertex is at (-1/3 , y)
Now it is only a matter of plugging in the x value in the original formula and solving for y to get the y value.

Answer 6

Solving for y, with x at -1/3
Y=3(-1/3)^2 + 2 (-1/3) + 1
y= 3/9 -2/3 + 1
y = 2/3
So the vertex is at (-1/3, 2/3) I do believe you may have an option that is satisfactory.
@brittany8432

Answer 7

The vertex is the point where the parabola reaches its maximum or minimum depending on whether it is opening up or opening down. It may or may not occur when y = 0 or when x = 0

Answer 8

As in local max or min

Answer 9

Yes, y=3x^2 + 2x + 1
y'=6x + 2 set to 0
6x+2 = 0
6x=-2
x=-2/6 = -1/3
I did not know if the poster knew calculus.
@BPDlkeme234