What is the area of the trapezoid shown? Express your answer in simplest exact form. [asy]

unitsize(1.5cm);

pair a=(0,0); pair b=(1,sqrt(3)); pair c=(3,sqrt(3)); pair d=(4,0);

draw(a--b--c--d--a);

label("2",(a+b)/2,NW);

label("2",(b+c)/2,N);

label("2",(c+d)/2,NE);

label("~$60^\circ$",a, NE);

label("$60^\circ$~",d, NW);

[/asy]

  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.

answerthe vertex form

step-by-step explanation: