What is the quadratic equation with these two points: (-24,7) and (30,25)?

The general form of a quadratic is  ax^2 + bx + c = y   and there are an infinite number of quadratic equations wihch will fit the above 2 points
what we can do is find one equation which has  a = 1

Plugging in the given points 

(-24)^2 - 24b + c = 7     and
(30^2 + 30b + c = 25

solving thes for ab and c gives b = (-17/3) and c = -705

so our equation would be 

y =  x^2 - (17/3)x - 705