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Construct a table of solutions and then graph the equation. See Examples $5-7$$$y=-x^{2}+1$$
$\begin{array}{|c|c|c|}\hline {y=-x^{2}+1} \\\hline x & y & (x, y) \\\hline-3 & -8 & (-3,-8) \\\hline-2 & -3 & (-2,-3) \\\hline-1 & 0 & (-1,0) \\\hline 0 & 1 & (0,1) \\\hline 1 & 0 & (1,0) \\\hline 2 & -3 & (2,-3) \\\hline 3 & -8 & (3,-8) \\\hline\end{array}$
Algebra
Chapter 5
Exponents and Polynomials
Section 4
Polynomials
Missouri State University
McMaster University
University of Michigan - Ann Arbor
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okay. When you want to grab something by constructing a table in plotting points, it's a good idea to select a variety of X values. So some negatives and positives in zero. So I'm going to use these X values. Negative, too negative 101 and two, and then I'm going to substitute them into the function one by one. So for negative, too, it would look like this the opposite of negative two squared plus one. So you have to be careful with order of operations Negative two squared would be for so it's the opposite of four plus one, and that's negative. Three. So for negative to we get a why. Value of negative three. And then you keep doing that with the different X values and you get the point negative 10 You get the 0.1 You get 10 and you get to negative three, and then we can plot those points. So negative, too negative. Three. Negative 10 0110 and two negative three. And then we want to connect them with a smooth curve as well as you can, and you have your graph
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