Graph Using a Table of Values y=(x+2)^2-3

$y = {(x + 2)}^{2} - 3$

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

$y = {((- 2) + 2)}^{2} - 3$

Solve the equation for $y$ .

Remove parentheses.

$y = {(- 2 + 2)}^{2} - 3$

Remove parentheses.

$y = {((- 2) + 2)}^{2} - 3$

Simplify ${((- 2) + 2)}^{2} - 3$ .

Simplify each term.

Add $- 2$ and $2$ .

$y = 0^{2} - 3$

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

$y = 0 - 3$

Subtract $3$ from $0$ .

$y = - 3$

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

$y = {((- 1) + 2)}^{2} - 3$

Solve the equation for $y$ .

Remove parentheses.

$y = {(- 1 + 2)}^{2} - 3$

Remove parentheses.

$y = {((- 1) + 2)}^{2} - 3$

Simplify ${((- 1) + 2)}^{2} - 3$ .

Simplify each term.

Add $- 1$ and $2$ .

$y = 1^{2} - 3$

One to any power is one.

$y = 1 - 3$

Subtract $3$ from $1$ .

$y = - 2$

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

$y = {((0) + 2)}^{2} - 3$

Solve the equation for $y$ .

Remove parentheses.

$y = {(0 + 2)}^{2} - 3$

Remove parentheses.

$y = {((0) + 2)}^{2} - 3$

Simplify ${((0) + 2)}^{2} - 3$ .

Simplify each term.

Add $0$ and $2$ .

$y = 2^{2} - 3$

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

$y = 4 - 3$

Subtract $3$ from $4$ .

$y = 1$

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

$y = {((1) + 2)}^{2} - 3$

Solve the equation for $y$ .

Remove parentheses.

$y = {(1 + 2)}^{2} - 3$

Remove parentheses.

$y = {((1) + 2)}^{2} - 3$

Simplify ${((1) + 2)}^{2} - 3$ .

Simplify each term.

Add $1$ and $2$ .

$y = 3^{2} - 3$

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

$y = 9 - 3$

Subtract $3$ from $9$ .

$y = 6$

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

$y = {((2) + 2)}^{2} - 3$

Solve the equation for $y$ .

Remove parentheses.

$y = {(2 + 2)}^{2} - 3$

Remove parentheses.

$y = {((2) + 2)}^{2} - 3$

Simplify ${((2) + 2)}^{2} - 3$ .

Simplify each term.

Add $2$ and $2$ .

$y = 4^{2} - 3$

Raise $4$ to the power of $2$ .

$y = 16 - 3$

Subtract $3$ from $16$ .

$y = 13$

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

$\begin{array}{c} x & y \\ - 2 & - 3 \\ - 1 & - 2 \\ 0 & 1 \\ 1 & 6 \\ 2 & 13 \end{array}$

Graph Using a Table of Values y=(x+2)^2-3

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