Graph Using a Table of Values y=(x-3)^2-1

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

Step 1

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

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

Step 2

Solve the equation for $y$ .

Remove parentheses.

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

Remove parentheses.

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

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

Simplify each term.

Subtract $3$ from $- 2$ .

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

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

$y = 25 - 1$

Subtract $1$ from $25$ .

$y = 24$

Step 3

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

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

Step 4

Solve the equation for $y$ .

Remove parentheses.

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

Remove parentheses.

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

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

Simplify each term.

Subtract $3$ from $- 1$ .

$y = {(- 4)}^{2} - 1$

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

$y = 16 - 1$

Subtract $1$ from $16$ .

$y = 15$

Step 5

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

$y = {((0) - 3)}^{2} - 1$

Step 6

Solve the equation for $y$ .

Remove parentheses.

$y = {(0 - 3)}^{2} - 1$

Remove parentheses.

$y = {((0) - 3)}^{2} - 1$

Simplify ${((0) - 3)}^{2} - 1$ .

Simplify each term.

Subtract $3$ from $0$ .

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

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

$y = 9 - 1$

Subtract $1$ from $9$ .

$y = 8$

Step 7

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

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

Step 8

Solve the equation for $y$ .

Remove parentheses.

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

Remove parentheses.

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

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

Simplify each term.

Subtract $3$ from $1$ .

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

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

$y = 4 - 1$

Subtract $1$ from $4$ .

$y = 3$

Step 9

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

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

Step 10

Solve the equation for $y$ .

Remove parentheses.

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

Remove parentheses.

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

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

Simplify each term.

Subtract $3$ from $2$ .

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

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

$y = 1 - 1$

Subtract $1$ from $1$ .

$y = 0$

Step 11

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

$\begin{array}{c} x & y \\ - 2 & 24 \\ - 1 & 15 \\ 0 & 8 \\ 1 & 3 \\ 2 & 0 \end{array}$

Step 12

Graph Using a Table of Values y=(x-3)^2-1

Related Questions

Support LCMGCF.com by disabling your adblocker.