Algebra Examples

$f (x) = - 1 (x + 2)$

Step 1

Write $f (x) = - 1 (x + 2)$ as an equation.

$y = - 1 (x + 2)$

Step 2

Simplify $- 1 (x + 2)$ .

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Step 2.1

Apply the distributive property.

$y = - 1 x - 1 \cdot 2$

Step 2.2

Simplify the expression.

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Step 2.2.1

Rewrite $- 1 x$ as $- x$ .

$y = - x - 1 \cdot 2$

Step 2.2.2

Multiply $- 1$ by $2$ .

$y = - x - 2$

Step 3

Choose any value for $x$ that is in the domain to plug into the equation.

Step 4

Choose $0$ to substitute in for $x$ to find the ordered pair.

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Step 4.1

Remove parentheses.

$y = - (0) - 2$

Step 4.2

Simplify $- (0) - 2$ .

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Step 4.2.1

Multiply $- 1$ by $0$ .

$y = 0 - 2$

Step 4.2.2

Subtract $2$ from $0$ .

$y = - 2$

Step 4.3

Use the $x$ and $y$ values to form the ordered pair.

$(0, - 2)$

Step 5

Choose $1$ to substitute in for $x$ to find the ordered pair.

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Step 5.1

Remove parentheses.

$y = - (1) - 2$

Step 5.2

Simplify $- (1) - 2$ .

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Step 5.2.1

Multiply $- 1$ by $1$ .

$y = - 1 - 2$

Step 5.2.2

Subtract $2$ from $- 1$ .

$y = - 3$

Step 5.3

Use the $x$ and $y$ values to form the ordered pair.

$(1, - 3)$

Step 6

Choose $2$ to substitute in for $x$ to find the ordered pair.

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Step 6.1

Remove parentheses.

$y = - (2) - 2$

Step 6.2

Simplify $- (2) - 2$ .

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Step 6.2.1

Multiply $- 1$ by $2$ .

$y = - 2 - 2$

Step 6.2.2

Subtract $2$ from $- 2$ .

$y = - 4$

Step 6.3

Use the $x$ and $y$ values to form the ordered pair.

$(2, - 4)$

Step 7

These are three possible solutions to the equation.

$(0, - 2), (1, - 3), (2, - 4)$

Step 8

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