Graph Using a Table of Values y=x^2

$y = x^{2}$

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

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

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

$y = 4$

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

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

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

$y = 1$

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

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

Solve the equation for $y$ .

Remove parentheses.

$y = 0^{2}$

Remove parentheses.

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

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

$y = 0$

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

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

Solve the equation for $y$ .

Remove parentheses.

$y = 1^{2}$

Remove parentheses.

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

One to any power is one.

$y = 1$

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

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

Solve the equation for $y$ .

Remove parentheses.

$y = 2^{2}$

Remove parentheses.

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

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

$y = 4$

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

$\begin{array}{c} x & y \\ - 2 & 4 \\ - 1 & 1 \\ 0 & 0 \\ 1 & 1 \\ 2 & 4 \end{array}$