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Copy and complete tables for y = x2 + 3x − 7 and y = -x2 - 5x + 6. Do not draw graphs.

Mathematics

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Let's complete the tables for Question 1 and Question 2.

Part 1· 1 step

Copy and complete this table for y=x2+3x−7y = x^2 + 3x - 7. Do not draw the graph. Notice the extra value at x=−1.5x = -1.5.

  1. Calculate the values for x2x^2, 3x3x, and y=x2+3x−7y = x^2 + 3x - 7 for each given xx.

    xx2+3x−7y=x2+3x−7−416−12−7−3−39−9−7−7−24−6−7−9−1.52.254.5−7−0.25−11−3−7−9000−7−7113−7−3246−73\begin{array}{|c|c|c|c|c|} \hline x & x^2 & +3x & -7 & y = x^2 + 3x - 7 \\ \hline -4 & 16 & -12 & -7 & -3 \\ \hline -3 & 9 & -9 & -7 & -7 \\ \hline -2 & 4 & -6 & -7 & -9 \\ \hline -1.5 & 2.25 & 4.5 & -7 & -0.25 \\ \hline -1 & 1 & -3 & -7 & -9 \\ \hline 0 & 0 & 0 & -7 & -7 \\ \hline 1 & 1 & 3 & -7 & -3 \\ \hline 2 & 4 & 6 & -7 & 3 \\ \hline \end{array}

    The completed table is shown above. All values were already correctly filled in the provided image.

Part 2· 1 step

Copy and complete this table for y=−x2−5x+6y = -x^2 - 5x + 6. Do not draw the graph. Remember that −x2-x^2 is always negative. Notice the extra value at x=−2.5x = -2.5.

  1. Calculate the values for −x2-x^2, −5x-5x, and y=−x2−5x+6y = -x^2 - 5x + 6 for each given xx.

    x−x2−5x+6y=−x2−5x+6−6−363060−5−252566−4−1620610−3−915612−2.5−6.2512.5612.25−2−410612−1−15610000661−1−5602−4−106−8\begin{array}{|c|c|c|c|c|} \hline x & -x^2 & -5x & +6 & y = -x^2 - 5x + 6 \\ \hline -6 & -36 & 30 & 6 & 0 \\ \hline -5 & -25 & 25 & 6 & 6 \\ \hline -4 & -16 & 20 & 6 & 10 \\ \hline -3 & -9 & 15 & 6 & 12 \\ \hline -2.5 & -6.25 & 12.5 & 6 & 12.25 \\ \hline -2 & -4 & 10 & 6 & 12 \\ \hline -1 & -1 & 5 & 6 & 10 \\ \hline 0 & 0 & 0 & 6 & 6 \\ \hline 1 & -1 & -5 & 6 & 0 \\ \hline 2 & -4 & -10 & 6 & -8 \\ \hline \end{array}

    The completed table is shown above. All values were already correctly filled in the provided image.

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