The solution is in the attached file
Use technology to construct an appropriate model of the data. (0,1), (1,-2), (2,-3), (3,-2), (4,1) f(x) = – x2 + 4 f(x) = x2 - 4
f(x) = - x2 + 4x - 1 f(x) = x2 - 4x + 1
2 answers:
The tool I used for modellin is MS Excel. As you on the left side of the picture, I tabulate the x and y coordinates with respect to their columns. Then, I plotted it using the scatter plot graph. In this type of graph, only plots are drawn on the Cartesian plane. Next, I created a trendline as represented by the blue dashed line. There are options to the degree of your trendline: linear, polynomial or exponential. The closes fit is the polynomial with a degree of 2. An option is listed there in displaying the equation. The equation modelled by regression through data fitting is:
y = x² - 4x+1
y = x² - 4x+1
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