Graph Using a Table of Values f(x)=x^2+2

$f (x) = x^{2} + 2$

Substitute $- 2$ for $x$ and find the result for $y$ .

$y = {(- 2)}^{2} + 2$

Simplify ${(- 2)}^{2} + 2$ .

Raise $- 2$ to the power of $2$ .

$y = 4 + 2$

Add $4$ and $2$ .

$y = 6$

Substitute $- 1$ for $x$ and find the result for $y$ .

$y = {(- 1)}^{2} + 2$

Simplify ${(- 1)}^{2} + 2$ .

Raise $- 1$ to the power of $2$ .

$y = 1 + 2$

Add $1$ and $2$ .

$y = 3$

Substitute $0$ for $x$ and find the result for $y$ .

$y = {(0)}^{2} + 2$

Solve the equation for $y$ .

Remove parentheses.

$y = 0^{2} + 2$

Remove parentheses.

$y = {(0)}^{2} + 2$

Simplify ${(0)}^{2} + 2$ .

Raising $0$ to any positive power yields $0$ .

$y = 0 + 2$

Add $0$ and $2$ .

$y = 2$

Substitute $1$ for $x$ and find the result for $y$ .

$y = {(1)}^{2} + 2$

Solve the equation for $y$ .

Remove parentheses.

$y = 1^{2} + 2$

Remove parentheses.

$y = {(1)}^{2} + 2$

Simplify ${(1)}^{2} + 2$ .

One to any power is one.

$y = 1 + 2$

Add $1$ and $2$ .

$y = 3$

Substitute $2$ for $x$ and find the result for $y$ .

$y = {(2)}^{2} + 2$

Solve the equation for $y$ .

Remove parentheses.

$y = 2^{2} + 2$

Remove parentheses.

$y = {(2)}^{2} + 2$

Simplify ${(2)}^{2} + 2$ .

Raise $2$ to the power of $2$ .

$y = 4 + 2$

Add $4$ and $2$ .

$y = 6$

This is a table of possible values to use when graphing the equation.

$\begin{array}{c} x & y \\ - 2 & 6 \\ - 1 & 3 \\ 0 & 2 \\ 1 & 3 \\ 2 & 6 \end{array}$

Graph Using a Table of Values f(x)=x^2+2

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