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.
(-2 , 0) and (-3 , 0)
a(x+2) * (x+3) = y
a(x^2 + 5x + 6) = y sub in given point
a(25 + 25 + 6) = 10
a = 10 / 56 = 5/ 28
y = 5/28 x^2 + 25/28 x + 30 / 28