Write the standard form of the quadratic equation modeled by the points shown in the table below. x -1 0 1 2 3 y -20 -6 2 4 0

for x=2  y=4

then

 y=ax² + bx + c-----> 4=a*2² + b*2 -6-----> 4=4a+2b-6-----> 4a+2b=10----> a=2.5-0.5b----> equation 2

I substitute 2 in 1

9*[2.5-0.5b]+3b=6------> 22.5-4.5b+3b=6------> 1.5b=16.5------> b=11

a=2.5-0.5*11------> a=2.5-5.5------> a=-3

The Standard Form of a Quadratic Equation is

 ax² + bx + c = 0--------> -3x²+11x-6=0

the answer is

-3x²+11x-6=0

 See the attached figure 

step-by-step explanation: