Answer
2 x-intercepts, 1 y-intercept
Work Step by Step
We are told the parabola opens up and has its vertex in quadrant III.
With the vertex in quadrant III, we know either the x value of the vertex is less than zero or the y value of the vertex is less than zero (or both are true).
Since at least one coordinate of the vertex is negative, and the parabola opens up, the graph of the parabola does cross the x-axis. Since the graph does cross the x-axis, there are two x-intercepts.
Since at least one coordinate of the vertex is negative, and the parabola opens up, the graph of the parabola does cross the y-axis. Since the graph does cross the y-axis, there is one y-intercept.
