Consider the equation $y=x^{2}+1$.
a) Using the given inputs, complete the table by entering the corresponding ordere pairs separated by commas.
$\begin{array}{llllll}x & -2 & -1 & 0 & 1 & 2\end{array}$
$y$
b) Graph the equation by plotting the vertex and one other point.
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Answer

$\boxed{\text{The corresponding ordered pairs are (-2,5), (-1,2), (0,1), (1,2), and (2,5).}}$

Steps

Step 1 ：Given the equation $y=x^{2}+1$.

Step 2 ：Substitute the given x values into the equation to find the corresponding y values.

Step 3 ：For $x=-2$, $y=(-2)^{2}+1=5$. So, the ordered pair is (-2,5).

Step 4 ：For $x=-1$, $y=(-1)^{2}+1=2$. So, the ordered pair is (-1,2).

Step 5 ：For $x=0$, $y=(0)^{2}+1=1$. So, the ordered pair is (0,1).

Step 6 ：For $x=1$, $y=(1)^{2}+1=2$. So, the ordered pair is (1,2).

Step 7 ：For $x=2$, $y=(2)^{2}+1=5$. So, the ordered pair is (2,5).

Step 8 ：$\boxed{\text{The corresponding ordered pairs are (-2,5), (-1,2), (0,1), (1,2), and (2,5).}}$