Graph Using a Table of Values y=x^2+2x-8

$y = x^{2} + 2 x - 8$

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

$y = {(- 2)}^{2} + 2 (- 2) - 8$

Simplify ${(- 2)}^{2} + 2 (- 2) - 8$ .

Simplify each term.

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

$y = 4 + 2 (- 2) - 8$

Multiply $2$ by $- 2$ .

$y = 4 - 4 - 8$

Simplify by subtracting numbers.

Subtract $4$ from $4$ .

$y = 0 - 8$

Subtract $8$ from $0$ .

$y = - 8$

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

$y = {(- 1)}^{2} + 2 (- 1) - 8$

Simplify ${(- 1)}^{2} + 2 (- 1) - 8$ .

Simplify each term.

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

$y = 1 + 2 (- 1) - 8$

Multiply $2$ by $- 1$ .

$y = 1 - 2 - 8$

Simplify by subtracting numbers.

Subtract $2$ from $1$ .

$y = - 1 - 8$

Subtract $8$ from $- 1$ .

$y = - 9$

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

$y = {(0)}^{2} + 2 (0) - 8$

Solve the equation for $y$ .

Remove parentheses.

$y = 0^{2} + 2 (0) - 8$

Remove parentheses.

$y = {(0)}^{2} + 2 (0) - 8$

Simplify ${(0)}^{2} + 2 (0) - 8$ .

Simplify each term.

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

$y = 0 + 2 (0) - 8$

Multiply $2$ by $0$ .

$y = 0 + 0 - 8$

Simplify by adding and subtracting.

Add $0$ and $0$ .

$y = 0 - 8$

Subtract $8$ from $0$ .

$y = - 8$

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

$y = {(1)}^{2} + 2 (1) - 8$

Solve the equation for $y$ .

Remove parentheses.

$y = 1^{2} + 2 (1) - 8$

Remove parentheses.

$y = {(1)}^{2} + 2 (1) - 8$

Simplify ${(1)}^{2} + 2 (1) - 8$ .

Simplify each term.

One to any power is one.

$y = 1 + 2 (1) - 8$

Multiply $2$ by $1$ .

$y = 1 + 2 - 8$

Simplify by adding and subtracting.

Add $1$ and $2$ .

$y = 3 - 8$

Subtract $8$ from $3$ .

$y = - 5$

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

$y = {(2)}^{2} + 2 (2) - 8$

Solve the equation for $y$ .

Remove parentheses.

$y = 2^{2} + 2 (2) - 8$

Remove parentheses.

$y = {(2)}^{2} + 2 (2) - 8$

Simplify ${(2)}^{2} + 2 (2) - 8$ .

Simplify each term.

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

$y = 4 + 2 (2) - 8$

Multiply $2$ by $2$ .

$y = 4 + 4 - 8$

Simplify by adding and subtracting.

Add $4$ and $4$ .

$y = 8 - 8$

Subtract $8$ from $8$ .

$y = 0$

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

$\begin{array}{c} x & y \\ - 2 & - 8 \\ - 1 & - 9 \\ 0 & - 8 \\ 1 & - 5 \\ 2 & 0 \end{array}$

Graph Using a Table of Values y=x^2+2x-8

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