Find a parametric equation that draws a quarter circle of radius 9 that crosses the y-axis and is as much in quadrant III as it is in quadrant IV.

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In preparation for my precalculus test, I was assigned many challenge problems, including this one. I have been struggling to find a solution to this question, as when I graphed my solution, it seemed that the segment of the quarter circle in quadrant 3 was smaller than the segment in quadrant 4. Attached is a photo of my attempt.

I would really appreciate any help.

My attempt