Question 1058212
Substitute the points into the equation
a+b+c=2
4a-2b+c=-7
4a+2b+c=-3
Look at the second and third
4a=2b-c-7
4a=-2b-c-3
Set those two equal to each other
2b-c-7=-2b-c-3
4b=4
b=1
Now go back to the first and substitute into one of the others.
a+1+c=2 or a+c=1, c=1-a
4a-2+1-a=-7 or 3a=-6, a=-2
Substitute that into the first equation.
-2+1+c=2; c=3
{-2,1,3}
-2x^2+bx+3=y answer
Try each point
-2+1+3=2 CHECKS
-8-2+3=-7 CHECKS
-8+2+3=-3 CHECKS
{{{graph(300,300,-10,10,-10,10,-2x^2+x+3)}}}