The largest multi-story building built by the Anasazi Indians called the Pueblo Bonito. The shape of its foundation is nearly parabolic, with a base (at the top of the photo) of about 500 feet and a height of about 300 feet. 1. Sketch the multistory building on a coordinate plane with the base of the building on the x-axis and the y-axis exactly in the middle of the building. The y-intercept is (0,-300). 2. Find the x-intercepts. 3. Substitute the three points from Exercises 1 and 2 into the model y = ax^2+ bx +c to obtain a system of linear equations. 4. Solve the linear system to find a quadratic model for the data.
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