A strange problem . . .
Make a sketch!The circle is a tangent to the parabola
Find the coordinates where the circle is tangent to the parabola.
The parabola opens upward with vertex (-3,6).
The circle has center (-3,4) and radius
Since the center of the circle is directly below the vertex of the parabola,
. . the only point at which they can be tangent is at the vertex: .