what is the intercept form of this parabola with intercepts at: x = -2, x = 3, and y = -4

Answer 1

start with y=(x+2)(x-3)
at x=0, y=-6
but you want y(0)=-4
so,
y = (2/3)(x+2)(x-3)
multiplying by 2/3 does not change the roots, but it does shift the y-intercept.