What are the coordinates of the vertex of the function f(x) =x^2-12x+5

f(x) = x² - 12x + 5

Completing the square,

f(x) = (x - 6)² - 36 + 5

f(x) = (x - 6)² - 31

Clearly the vertex is x=6, y=f(6)=-31

(6, -31)

  y= -3x is the required function.

step-by-step explanation:

we have been given a table:

x             y

0             0

1             -3

3             -9

-2             6

we can see that the values of y is -3 times the value of x

hence, the function would be: y= -3x.

put the values of x will give the same y as in the table that means function is satisfying the given table.