Answer:
The equation for a parabola that opens down, translated to the right 3, and translated down 2 can be written in the standard form as:
y = a(x - h)^2 + k
where (h,k) represents the vertex of the parabola. Since the parabola opens down, the value of 'a' must be negative. The vertex is translated to the right 3 and down 2, so we have:
h = -3 and k = -2
Substituting these values in the standard form equation, we get:
y = a(x + 3)^2 - 2
This is the equation for a parabola that opens down, translated to the right 3, and translated down 2.