Graph Using a Table of Values y=2sin(3x)

$y = 2 \sin (3 x)$

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

$y = 2 \sin (3 (- 2))$

Simplify $2 \sin (3 (- 2))$ .

Multiply $3$ by $- 2$ .

$y = 2 \sin (- 6)$

Evaluate $\sin (- 6)$ .

$y = 2 \cdot - 0.10452846$

Multiply $2$ by $- 0.10452846$ .

$y = - 0.20905692$

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

$y = 2 \sin (3 (- 1))$

Simplify $2 \sin (3 (- 1))$ .

Multiply $3$ by $- 1$ .

$y = 2 \sin (- 3)$

Evaluate $\sin (- 3)$ .

$y = 2 \cdot - 0.05233595$

Multiply $2$ by $- 0.05233595$ .

$y = - 0.10467191$

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

$y = 2 \sin (3 (0))$

Solve the equation for $y$ .

Remove parentheses.

$y = 2 \sin (3 (0))$

Simplify $2 \sin (3 (0))$ .

Multiply $3$ by $0$ .

$y = 2 \sin (0)$

The exact value of $\sin (0)$ is $0$ .

$y = 2 \cdot 0$

Multiply $2$ by $0$ .

$y = 0$

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

$y = 2 \sin (3 (1))$

Solve the equation for $y$ .

Remove parentheses.

$y = 2 \sin (3 (1))$

Simplify $2 \sin (3 (1))$ .

Multiply $3$ by $1$ .

$y = 2 \sin (3)$

Evaluate $\sin (3)$ .

$y = 2 \cdot 0.05233595$

Multiply $2$ by $0.05233595$ .

$y = 0.10467191$

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

$y = 2 \sin (3 (2))$

Solve the equation for $y$ .

Remove parentheses.

$y = 2 \sin (3 (2))$

Simplify $2 \sin (3 (2))$ .

Multiply $3$ by $2$ .

$y = 2 \sin (6)$

Evaluate $\sin (6)$ .

$y = 2 \cdot 0.10452846$

Multiply $2$ by $0.10452846$ .

$y = 0.20905692$

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

$\begin{array}{c} x & y \\ - 2 & - 0.20905692 \\ - 1 & - 0.10467191 \\ 0 & 0 \\ 1 & 0.10467191 \\ 2 & 0.20905692 \end{array}$

Graph Using a Table of Values y=2sin(3x)

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