Mathematics: 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

question 1 is angle addition postulate Question 2 is 2x=56Step-by-step explanation:...

Which table contains the vertex of the graph - id1565823, hawszanderpelv2v

christinaS7696

15.03.2022

Table B

Vertex is (3,-5)

Step-by-step explanation:

We are given with an equation of a parabola y=x^2-6x+4

Let is convert it into standard form of a parabola

y=x^2-6x+4

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

y=x^2-6x+9-9+4

$y=x^2-2\times 3\times x+ 3^2-9+4$

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

$a^2-2 \times a \times b+b^2 = (a-b)^2$

Hence

y=(x-3)^2-5

adding 5 on both sides we get

(y+5)=(x-3)^2

Comparing it with the standard equation of a parabola

$X^2=4\times \frac{1}{4} \times Y$

where X=x-3 and Y=y+5

The vertex of $X^2=4\times \frac{1}{4} \times Y$ will be (0,0)

and thus vertex of

(y+5)=(x-3)^2 will be (3,-5)

Hence the Table B is our right answer

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