Finding a parabolic equation

Question

How to find parabolic equation if 2 x-axis are +2 and +3 and y-intercept is +6 

Answer 1

This is not phrased properly.  Find equation of a quadratic having zeros (roots) 2 and 3, and y intercept 6.

 

f(x) = y = a(x-2)(x-3),

 

f(0) = a(-2)(-3) = 6 so a=1.

 

f(x) = (x-2)(x-3).