Algebra Examples

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

Step 1

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

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

Step 2

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

$y = 4$

Step 3

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

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

Step 4

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

$y = 1$

Step 5

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

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

Step 6

Solve the equation for $y$ .

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Step 6.1

Remove parentheses.

$y = 0^{2}$

Step 6.2

Remove parentheses.

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

Step 6.3

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

$y = 0$

Step 7

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

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

Step 8

Solve the equation for $y$ .

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Step 8.1

Remove parentheses.

$y = 1^{2}$

Step 8.2

Remove parentheses.

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

Step 8.3

One to any power is one.

$y = 1$

Step 9

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

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

Step 10

Solve the equation for $y$ .

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Step 10.1

Remove parentheses.

$y = 2^{2}$

Step 10.2

Remove parentheses.

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

Step 10.3

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

$y = 4$

Step 11

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

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

Step 12