Graph y=(2x)^3

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

Find the point at $x = - 2$ .

Replace the variable $x$ with $- 2$ in the expression.

$f (- 2) = 8 {(- 2)}^{3}$

Simplify the result.

Raise $- 2$ to the power of $3$ .

$f (- 2) = 8 \cdot - 8$

Multiply $8$ by $- 8$ .

$f (- 2) = - 64$

The final answer is $- 64$ .

$- 64$

Convert $- 64$ to decimal.

$y = - 64$

Find the point at $x = - 1$ .

Replace the variable $x$ with $- 1$ in the expression.

$f (- 1) = 8 {(- 1)}^{3}$

Simplify the result.

Raise $- 1$ to the power of $3$ .

$f (- 1) = 8 \cdot - 1$

Multiply $8$ by $- 1$ .

$f (- 1) = - 8$

The final answer is $- 8$ .

$- 8$

Convert $- 8$ to decimal.

$y = - 8$

Find the point at $x = 0$ .

Replace the variable $x$ with $0$ in the expression.

$f (0) = 8 {(0)}^{3}$

Simplify the result.

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

$f (0) = 8 \cdot 0$

Multiply $8$ by $0$ .

$f (0) = 0$

The final answer is $0$ .

$0$

Convert $0$ to decimal.

$y = 0$

Find the point at $x = 1$ .

Replace the variable $x$ with $1$ in the expression.

$f (1) = 8 {(1)}^{3}$

Simplify the result.

One to any power is one.

$f (1) = 8 \cdot 1$

Multiply $8$ by $1$ .

$f (1) = 8$

The final answer is $8$ .

$8$

Convert $8$ to decimal.

$y = 8$

Find the point at $x = 2$ .

Replace the variable $x$ with $2$ in the expression.

$f (2) = 8 {(2)}^{3}$

Simplify the result.

Raise $2$ to the power of $3$ .

$f (2) = 8 \cdot 8$

Multiply $8$ by $8$ .

$f (2) = 64$

The final answer is $64$ .

$64$

Convert $64$ to decimal.

$y = 64$

The cubic function can be graphed using the function behavior and the points.

$\begin{array}{c} x & y \\ - 2 & - 64 \\ - 1 & - 8 \\ 0 & 0 \\ 1 & 8 \\ 2 & 64 \end{array}$

The cubic function can be graphed using the function behavior and the selected points.

Falls to the left and rises to the right

$\begin{array}{c} x & y \\ - 2 & - 64 \\ - 1 & - 8 \\ 0 & 0 \\ 1 & 8 \\ 2 & 64 \end{array}$

Graph y=(2x)^3

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