27. Graphed in the same standard (x, y) coordinate plane are a circle and a parabola. The circle has radius 3 and center (0,0). The parabola has vertex (-3, -2)，has a vertical axis of symmetry, and passes through (-2, -1). The circle and the parabola intersect at how many points?

Answer and Explanation

Your Answer is

Correct Answer is C

Explanation

From the coordinates of the vertex of the parabola and the coordinates of a point on the parabola, it can be seen that this parabola is a parabola whose symmetry axis is on the left side of the x-axis and whose opening is upward. Roughly draw a circle and a parabola in the coordinate system, we can see that there are two intersection points, choose C.