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

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

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

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

Solve the equation for $y$ .

Remove parentheses.

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

Remove parentheses.

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

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

Add $- 2$ and $3$ .

$y = 1^{2}$

One to any power is one.

$y = 1$

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

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

Solve the equation for $y$ .

Remove parentheses.

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

Remove parentheses.

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

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

Add $- 1$ and $3$ .

$y = 2^{2}$

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

$y = 4$

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

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

Solve the equation for $y$ .

Remove parentheses.

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

Remove parentheses.

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

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

Add $0$ and $3$ .

$y = 3^{2}$

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

$y = 9$

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

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

Solve the equation for $y$ .

Remove parentheses.

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

Remove parentheses.

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

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

Add $1$ and $3$ .

$y = 4^{2}$

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

$y = 16$

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

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

Solve the equation for $y$ .

Remove parentheses.

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

Remove parentheses.

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

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

Add $2$ and $3$ .

$y = 5^{2}$

Raise $5$ to the power of $2$ .

$y = 25$

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

$\begin{array}{c} x & y \\ - 2 & 1 \\ - 1 & 4 \\ 0 & 9 \\ 1 & 16 \\ 2 & 25 \end{array}$

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

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