Algebra Examples

$y = 3 x^{2}$

Step 1

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

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

Step 2

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

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Step 2.1

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

$y = 3 \cdot 4$

Step 2.2

Multiply $3$ by $4$ .

$y = 12$

Step 3

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

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

Step 4

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

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Step 4.1

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

$y = 3 \cdot 1$

Step 4.2

Multiply $3$ by $1$ .

$y = 3$

Step 5

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

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

Step 6

Solve the equation for $y$ .

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Step 6.1

Remove parentheses.

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

Step 6.2

Remove parentheses.

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

Step 6.3

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

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Step 6.3.1

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

$y = 3 \cdot 0$

Step 6.3.2

Multiply $3$ by $0$ .

$y = 0$

Step 7

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

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

Step 8

Solve the equation for $y$ .

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Step 8.1

Remove parentheses.

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

Step 8.2

Remove parentheses.

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

Step 8.3

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

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Step 8.3.1

One to any power is one.

$y = 3 \cdot 1$

Step 8.3.2

Multiply $3$ by $1$ .

$y = 3$

Step 9

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

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

Step 10

Solve the equation for $y$ .

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Step 10.1

Remove parentheses.

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

Step 10.2

Remove parentheses.

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

Step 10.3

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

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Step 10.3.1

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

$y = 3 \cdot 4$

Step 10.3.2

Multiply $3$ by $4$ .

$y = 12$

Step 11

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

$\begin{array}{c} x & y \\ - 2 & 12 \\ - 1 & 3 \\ 0 & 0 \\ 1 & 3 \\ 2 & 12 \end{array}$

Step 12