Graph Using a Table of Values y=2 square root of x

$y = 2 \sqrt{x}$

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

$y = 2 \sqrt{- 2}$

Simplify $2 \sqrt{- 2}$ .

Remove parentheses.

$y = 2 \sqrt{- 2}$

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

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

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

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

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

$y = 2 i \sqrt{2}$

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

$y = 2 \sqrt{- 1}$

Simplify $2 \sqrt{- 1}$ .

Remove parentheses.

$y = 2 \sqrt{- 1}$

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

$y = 2 i$

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

$y = 2 \sqrt{0}$

Simplify $2 \sqrt{0}$ .

Remove parentheses.

$y = 2 \sqrt{0}$

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

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

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

$y = 2 \cdot 0$

Multiply $2$ by $0$ .

$y = 0$

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

$y = 2 \sqrt{1}$

Simplify $2 \sqrt{1}$ .

Remove parentheses.

$y = 2 \sqrt{1}$

Any root of $1$ is $1$ .

$y = 2 \cdot 1$

Multiply $2$ by $1$ .

$y = 2$

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

$y = 2 \sqrt{2}$

Remove parentheses.

$y = 2 \sqrt{2}$

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

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