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  • Essay / Determining a suitable parabolic model ratio

    As a approaches 0, the parabola widens. The result was still too meager. The next function was: Y= -0.05(X-8)2+2.33 I changed -0.1 to -0.05. As a approaches 0, the parabola widens. The result was still too meager. The next function was: Y= -0.03(X-8)2+2.33 I changed -0.05 to -0.03. As a approaches 0, the parabola widens. The result was skewed to the left. The next function was: Y= -0.03(X-8.5)2+2.33 I changed -8 to -8.5. As b decreases, the turning point moves to the right. The result was a little too broad. The next function was: Y= -0.035(X-8.5)2+2.33 I changed -0.03 to -0.035. As a gets further from 0, the parabola becomes thinner. The result was a little too meager. My final function was: Y= -0.033(X-8.5)2+2.33 I changed -0.035 to 0.033. As a approaches 0, the parabola widens. Under the final quadratic function, Y= -0.033(X-8.5)2+2.33 is superimposed on my original data points. [IMAGE] In the tables below, the results when the different lengths are substituted into the function can be compared to our initial value