The problem statement was that we are trying to find the largest rectangle possible within these requirements:
-The first corner has to be on the corner of y=16-x^2
-The second corner has to be at the origin of the graph
-The third has to be on the positive y-axis
-The fourth has to be on the positive x-axis
When we first saw the problem we wrote down some strategy ideas and questions we needed answered to solve for it. I thought we needed to solve for x in the function y=16-x^2. I thought at first that it was just going to be a point and then I realized that the x^2 means a quadratic function which means a parabola. Since we had already done a unit on that and I didn't recognize that there was a constant my next step idea was to solve for the x intercepts by factoring the equation. But then when we came together as a class I found out that the 16 is the constant because for the y-intercept x=0 so when you plug in 0 for x you get 16. So 16 is the constant, which means y-intercept=16.