A parabola has two x intercepts at (-2 , 0) and (3 , 0) and passes through the point (5 , 10). Find the equation of this parabola?
Zeroes at -2 and 3
a (x+2)(x-3) = 0
f(x) = a ( x*2 -x -6) When x = 5 f(x) = 10
10 = a ( 5^2 -5-6)
a = 5/7
f(x) = 5/7 (x^2-x-6)