Graph Using a Table of Values y=- square root of x

$y = - \sqrt{x}$

Step 1

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

$y = - \sqrt{- 2}$

Step 2

Simplify $- \sqrt{- 2}$ .

Remove parentheses.

$y = - \sqrt{- 2}$

Rewrite $- 2$ as $- 1 (2)$ .

$y = - \sqrt{- 1 (2)}$

Rewrite $\sqrt{- 1 (2)}$ as $\sqrt{- 1} \cdot \sqrt{2}$ .

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

Rewrite $\sqrt{- 1}$ as $i$ .

$y = - i \sqrt{2}$

Step 3

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

$y = - \sqrt{- 1}$

Step 4

Simplify $- \sqrt{- 1}$ .

Remove parentheses.

$y = - \sqrt{- 1}$

Rewrite $\sqrt{- 1}$ as $i$ .

$y = - i$

Step 5

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

$y = - \sqrt{0}$

Step 6

Simplify $- \sqrt{0}$ .

Remove parentheses.

$y = - \sqrt{0}$

Rewrite $0$ as $0^{2}$ .

$y = - \sqrt{0^{2}}$

Pull terms out from under the radical, assuming positive real numbers.

$y = - 0$

Multiply $- 1$ by $0$ .

$y = 0$

Step 7

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

$y = - \sqrt{1}$

Step 8

Simplify $- \sqrt{1}$ .

Remove parentheses.

$y = - \sqrt{1}$

Any root of $1$ is $1$ .

$y = - 1 \cdot 1$

Multiply $- 1$ by $1$ .

$y = - 1$

Step 9

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

$y = - \sqrt{2}$

Step 10

Remove parentheses.

$y = - \sqrt{2}$

Step 11

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

$\begin{array}{c} x & y \\ - 2 & - i \sqrt{2} \\ - 1 & - i \\ 0 & 0 \\ 1 & - 1 \\ 2 & - \sqrt{2} \end{array}$

Step 12

Graph Using a Table of Values y=- square root of x

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