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Use the equations below to determine the values of y. Place points on the Cartesian plane and join the points.

Mathematics

ScanSolve AI Answer

Step-by-step solution

2 steps

Here are the completed tables for the given equations:

Part a· 1 step

For the equation y=x2+4y = x^2 + 4

  1. Substitute each xx value into the equation to find the corresponding yy value.

    For x=−2x = -2: y=(−2)2+4=4+4=8y = (-2)^2 + 4 = 4 + 4 = 8
    For x=−1x = -1: y=(−1)2+4=1+4=5y = (-1)^2 + 4 = 1 + 4 = 5
    For x=0x = 0: y=(0)2+4=0+4=4y = (0)^2 + 4 = 0 + 4 = 4
    For x=1x = 1: y=(1)2+4=1+4=5y = (1)^2 + 4 = 1 + 4 = 5
    For x=2x = 2: y=(2)2+4=4+4=8y = (2)^2 + 4 = 4 + 4 = 8

    The completed table is:

    x−2−1012y85458\begin{array}{|c|c|c|c|c|c|} \hline x & -2 & -1 & 0 & 1 & 2 \\ \hline y & \textbf{8} & \textbf{5} & \textbf{4} & \textbf{5} & \textbf{8} \\ \hline \end{array}

Part b· 1 step

For the equation y=x2+5y = x^2 + 5

  1. Substitute each xx value into the equation to find the corresponding yy value.

    (Assuming the xx values follow the pattern -2, -1, 0, 1, 2 based on the previous questions.)
    For x=−2x = -2: y=(−2)2+5=4+5=9y = (-2)^2 + 5 = 4 + 5 = 9
    For x=−1x = -1: y=(−1)2+5=1+5=6y = (-1)^2 + 5 = 1 + 5 = 6
    For x=0x = 0: y=(0)2+5=0+5=5y = (0)^2 + 5 = 0 + 5 = 5
    For x=1x = 1: y=(1)2+5=1+5=6y = (1)^2 + 5 = 1 + 5 = 6
    For x=2x = 2: y=(2)2+5=4+5=9y = (2)^2 + 5 = 4 + 5 = 9

    The completed table is:

    x−2−1012y96569\begin{array}{|c|c|c|c|c|c|} \hline x & -2 & -1 & 0 & 1 & 2 \\ \hline y & \textbf{9} & \textbf{6} & \textbf{5} & \textbf{6} & \textbf{9} \\ \hline \end{array}
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