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

$y = x^{2} - 3 x$

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

$y = {(- 2)}^{2} - 3 \cdot - 2$

Solve the equation for $y$ .

Remove parentheses.

$y = {(- 2)}^{2} - 3 \cdot - 2$

Simplify ${(- 2)}^{2} - 3 \cdot - 2$ .

Simplify each term.

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

$y = 4 - 3 \cdot - 2$

Multiply $- 3$ by $- 2$ .

$y = 4 + 6$

Add $4$ and $6$ .

$y = 10$

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

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

Solve the equation for $y$ .

Remove parentheses.

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

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

Simplify each term.

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

$y = 1 - 3 \cdot - 1$

Multiply $- 3$ by $- 1$ .

$y = 1 + 3$

Add $1$ and $3$ .

$y = 4$

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

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

Solve the equation for $y$ .

Remove parentheses.

$y = 0^{2} - 3 \cdot 0$

Remove parentheses.

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

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

Simplify each term.

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

$y = 0 - 3 \cdot 0$

Multiply $- 3$ by $0$ .

$y = 0 + 0$

Add $0$ and $0$ .

$y = 0$

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

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

Solve the equation for $y$ .

Remove parentheses.

$y = 1^{2} - 3 \cdot 1$

Remove parentheses.

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

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

Simplify each term.

One to any power is one.

$y = 1 - 3 \cdot 1$

Multiply $- 3$ by $1$ .

$y = 1 - 3$

Subtract $3$ from $1$ .

$y = - 2$

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

$y = {(2)}^{2} - 3 \cdot 2$

Solve the equation for $y$ .

Remove parentheses.

$y = 2^{2} - 3 \cdot 2$

Remove parentheses.

$y = {(2)}^{2} - 3 \cdot 2$

Simplify ${(2)}^{2} - 3 \cdot 2$ .

Simplify each term.

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

$y = 4 - 3 \cdot 2$

Multiply $- 3$ by $2$ .

$y = 4 - 6$

Subtract $6$ from $4$ .

$y = - 2$

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

$\begin{array}{c} x & y \\ - 2 & 10 \\ - 1 & 4 \\ 0 & 0 \\ 1 & - 2 \\ 2 & - 2 \end{array}$

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

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