Question

Find two quadratic functions whose graph have given x-intercepts. Find one function whose graph opens upward and another whose graph opens downward.
(-4,0) (0,0)

Answer 1

from the values of the roots, we know that the functions will be of the form

y = ax(x+4)

So, pick a positive to open upward, and a negative to open downward.

Any nonzero value will do.