The point (2,1) is the turning point of the graph with equation y=x^2+ax+b where a and b are integers. Find the values of a and b

Does anyone know how to do geometryme with this problem

Look at this pattern ; 1,4,9, number 10000 belongs in this pattern . what’s the place of this number?

Find the directions in which the function increases and decreases most rapidly at upper p 0p0. then find the derivatives of the function in these directions. f(x,y)equals=x squared plus xy plus y squaredx2+xy+y2, upper p 0p0left parenthesis 1 comma negative 4 right parenthesis