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

In any parabola, the vertex is the turning point. And the x-coordinate of the vertex can be found using

So, in your case, you have

So, your equation actually looks like

Now impose the passing through (2,1), i.e. substitute x=2, y=1 and solve for b:

answer: 298143

step-by-step explanation: