Determine the equation of a parabola with x-intercepts +- 4 and passing through (3,6)

Answer 1

Find the two factors using the roots (the intercepts) and then test the point (3,6) in your answer to see if you need to change the sign of everything.

Answer 2

The parabola is
y = a(x-4)(x+4)
plug in (3,6) to find the value of a.
replace a in my equation.
Expand if you feel like it.