Graph Using a Table of Values y=(x+5)^2

$y = {(x + 5)}^{2}$

Step 1

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

$y = {((- 2) + 5)}^{2}$

Step 2

Solve the equation for $y$ .

Remove parentheses.

$y = {(- 2 + 5)}^{2}$

Remove parentheses.

$y = {((- 2) + 5)}^{2}$

Simplify ${((- 2) + 5)}^{2}$ .

Add $- 2$ and $5$ .

$y = 3^{2}$

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

$y = 9$

Step 3

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

$y = {((- 1) + 5)}^{2}$

Step 4

Solve the equation for $y$ .

Remove parentheses.

$y = {(- 1 + 5)}^{2}$

Remove parentheses.

$y = {((- 1) + 5)}^{2}$

Simplify ${((- 1) + 5)}^{2}$ .

Add $- 1$ and $5$ .

$y = 4^{2}$

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

$y = 16$

Step 5

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

$y = {((0) + 5)}^{2}$

Step 6

Solve the equation for $y$ .

Remove parentheses.

$y = {(0 + 5)}^{2}$

Remove parentheses.

$y = {((0) + 5)}^{2}$

Simplify ${((0) + 5)}^{2}$ .

Add $0$ and $5$ .

$y = 5^{2}$

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

$y = 25$

Step 7

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

$y = {((1) + 5)}^{2}$

Step 8

Solve the equation for $y$ .

Remove parentheses.

$y = {(1 + 5)}^{2}$

Remove parentheses.

$y = {((1) + 5)}^{2}$

Simplify ${((1) + 5)}^{2}$ .

Add $1$ and $5$ .

$y = 6^{2}$

Raise $6$ to the power of $2$ .

$y = 36$

Step 9

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

$y = {((2) + 5)}^{2}$

Step 10

Solve the equation for $y$ .

Remove parentheses.

$y = {(2 + 5)}^{2}$

Remove parentheses.

$y = {((2) + 5)}^{2}$

Simplify ${((2) + 5)}^{2}$ .

Add $2$ and $5$ .

$y = 7^{2}$

Raise $7$ to the power of $2$ .

$y = 49$

Step 11

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

$\begin{array}{c} x & y \\ - 2 & 9 \\ - 1 & 16 \\ 0 & 25 \\ 1 & 36 \\ 2 & 49 \end{array}$

Step 12

Graph Using a Table of Values y=(x+5)^2

Related Questions

Support LCMGCF.com by disabling your adblocker.