Which table contains the vertex of the graph represented by y=x^2-6x+4?
a
x y
-2 20
0 4
2 -4
4 -4
b
x y
-1 11
1 -1
3 -5
6 4
c
x y
-3 31
-1 12
0 4
2 12
d
x y
0 5
2 7
3 5
5 7

Table B

Vertex is (3,-5)

Step-by-step explanation:

We are given with an equation of a parabola

Let is convert it into standard form of a parabola

adding and subtracting 9 in the right hand side of the =

the first three terms of the right hand side forms the expression of square of difference

Hence

adding 5 on both sides we get

Comparing it with the standard equation of a parabola

where and

The vertex of will be (0,0)

and thus vertex of

will be (3,-5)

Hence the Table B is our right answer

nope

step-by-step explanation:

step-by-step explanation:

y = | -2(-2) |     →     y = | 4 |     →     y = 4       ⇒   (-2, 4)

y = | -2(-1) |     →     y = | 2 |     →       y =   2       ⇒   (-1, 2)    

y = | -2(0) |     →     y = | 0 |     →       y = 0         ⇒   (0, 0)

y = | -2(1) |   c →     y = | -2 |     →     y =   2         ⇒   (1, 2)    

y = | -2(2) |     →     y = | - 4 |     →     y =   4         ⇒   (2, 4)