Hello, requal!

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 isdirectly belowthe vertex of the parabola,

. . the only point at which they can be tangent is at the: .vertex