write the equation of the parabola that has the vertex at point (3,−12) and passes through the point (0,6).

Step-by-step explanation:

The vertex form of a parabola is

         ...(i)

where, a is a constant and (h,k) is vertex.

It is given that vertex of the parabola is (3,-12).

Substitute h=3 and k=-12 in equation (i).

        ...(ii)

It is given that the parabola passes through the point (0,6). It means the equation of parabola must be true for (0,6).

Substitute x=0 and y=6 in equation (ii).

Substitute a=2 in equation (ii).

Therefore, the equation of parabola is .

hiking down a winding trail.

step-by-step explanation:

yes

step-by-step explanation:

yes