Graph Using a Table of Values y=2x^2-2

$y = 2 x^{2} - 2$

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

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

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

Simplify each term.

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

$y = 2 \cdot 4 - 2$

Multiply $2$ by $4$ .

$y = 8 - 2$

Subtract $2$ from $8$ .

$y = 6$

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

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

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

Simplify each term.

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

$y = 2 \cdot 1 - 2$

Multiply $2$ by $1$ .

$y = 2 - 2$

Subtract $2$ from $2$ .

$y = 0$

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

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

Solve the equation for $y$ .

Remove parentheses.

$y = 2 \cdot 0^{2} - 2$

Remove parentheses.

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

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

Simplify each term.

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

$y = 2 \cdot 0 - 2$

Multiply $2$ by $0$ .

$y = 0 - 2$

Subtract $2$ from $0$ .

$y = - 2$

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

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

Solve the equation for $y$ .

Remove parentheses.

$y = 2 \cdot 1^{2} - 2$

Remove parentheses.

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

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

Simplify each term.

One to any power is one.

$y = 2 \cdot 1 - 2$

Multiply $2$ by $1$ .

$y = 2 - 2$

Subtract $2$ from $2$ .

$y = 0$

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

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

Solve the equation for $y$ .

Remove parentheses.

$y = 2 \cdot 2^{2} - 2$

Remove parentheses.

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

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

Simplify each term.

Multiply $2$ by ${(2)}^{2}$ by adding the exponents.

Multiply $2$ by ${(2)}^{2}$ .

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

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

Use the power rule $a^{m} a^{n} = a^{m + n}$ to combine exponents.

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

Add $1$ and $2$ .

$y = 2^{3} - 2$

Raise $2$ to the power of $3$ .

$y = 8 - 2$

Subtract $2$ from $8$ .

$y = 6$

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

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

Graph Using a Table of Values y=2x^2-2

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