Which equation is represented by the table?

When you plot te points on a graph you notice it's a parabolaThen its equation is y= x²+bx+c

Plug x & y by their respective values (2 different points are enough) & you will get a system of equation with 2 variables a & b

After solving them you will get a=8/3 & b=-1/4 & c=-5

Hence the equation is y = (8/3)x²-1/4x+5