Graph y=1/4(-x)^3-4

$y = \frac{1}{4} {(- x)}^{3} - 4$

Find the point at $x = - 2$ .

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

$f (- 2) = - \frac{{(- 2)}^{3}}{4} - 4$

Simplify the result.

Simplify each term.

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

$f (- 2) = - \frac{- 8}{4} - 4$

Divide $- 8$ by $4$ .

$f (- 2) = 2 - 4$

Multiply $- 1$ by $- 2$ .

$f (- 2) = 2 - 4$

Subtract $4$ from $2$ .

$f (- 2) = - 2$

The final answer is $- 2$ .

$- 2$

Convert $- 2$ to decimal.

$y = - 2$

Find the point at $x = 0$ .

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

$f (0) = - \frac{{(0)}^{3}}{4} - 4$

Simplify the result.

Simplify each term.

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

$f (0) = - \frac{0}{4} - 4$

Divide $0$ by $4$ .

$f (0) = - 0 - 4$

Multiply $- 1$ by $0$ .

$f (0) = 0 - 4$

Subtract $4$ from $0$ .

$f (0) = - 4$

The final answer is $- 4$ .

$- 4$

Convert $- 4$ to decimal.

$y = - 4$

Find the point at $x = 2$ .

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

$f (2) = - \frac{{(2)}^{3}}{4} - 4$

Simplify the result.

Simplify each term.

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

$f (2) = - \frac{8}{4} - 4$

Divide $8$ by $4$ .

$f (2) = - 1 \cdot 2 - 4$

Multiply $- 1$ by $2$ .

$f (2) = - 2 - 4$

Subtract $4$ from $- 2$ .

$f (2) = - 6$

The final answer is $- 6$ .

$- 6$

Convert $- 6$ to decimal.

$y = - 6$

Find the point at $x = - 1$ .

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

$f (- 1) = - \frac{{(- 1)}^{3}}{4} - 4$

Simplify the result.

Simplify each term.

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

$f (- 1) = - \frac{- 1}{4} - 4$

Move the negative in front of the fraction.

$f (- 1) = \frac{1}{4} - 4$

Multiply $- - \frac{1}{4}$ .

Multiply $- 1$ by $- 1$ .

$f (- 1) = 1 (\frac{1}{4}) - 4$

Multiply $\frac{1}{4}$ by $1$ .

$f (- 1) = \frac{1}{4} - 4$

To write $- 4$ as a fraction with a common denominator, multiply by $\frac{4}{4}$ .

$f (- 1) = \frac{1}{4} - 4 \cdot \frac{4}{4}$

Combine $- 4$ and $\frac{4}{4}$ .

$f (- 1) = \frac{1}{4} + \frac{- 4 \cdot 4}{4}$

Combine the numerators over the common denominator.

$f (- 1) = \frac{1 - 4 \cdot 4}{4}$

Simplify the numerator.

Multiply $- 4$ by $4$ .

$f (- 1) = \frac{1 - 16}{4}$

Subtract $16$ from $1$ .

$f (- 1) = \frac{- 15}{4}$

Move the negative in front of the fraction.

$f (- 1) = - \frac{15}{4}$

The final answer is $- \frac{15}{4}$ .

$- \frac{15}{4}$

Convert $- \frac{15}{4}$ to decimal.

$y = - 3.75$

Find the point at $x = 1$ .

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

$f (1) = - \frac{{(1)}^{3}}{4} - 4$

Simplify the result.

One to any power is one.

$f (1) = - \frac{1}{4} - 4$

To write $- 4$ as a fraction with a common denominator, multiply by $\frac{4}{4}$ .

$f (1) = - \frac{1}{4} - 4 \cdot \frac{4}{4}$

Combine $- 4$ and $\frac{4}{4}$ .

$f (1) = - \frac{1}{4} + \frac{- 4 \cdot 4}{4}$

Combine the numerators over the common denominator.

$f (1) = \frac{- 1 - 4 \cdot 4}{4}$

Simplify the numerator.

Multiply $- 4$ by $4$ .

$f (1) = \frac{- 1 - 16}{4}$

Subtract $16$ from $- 1$ .

$f (1) = \frac{- 17}{4}$

Move the negative in front of the fraction.

$f (1) = - \frac{17}{4}$

The final answer is $- \frac{17}{4}$ .

$- \frac{17}{4}$

Convert $- \frac{17}{4}$ to decimal.

$y = - 4.25$

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

$\begin{array}{c} x & y \\ - 2 & - 2 \\ - 1 & - 3.75 \\ 0 & - 4 \\ 1 & - 4.25 \\ 2 & - 6 \end{array}$

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

Rises to the left and falls to the right

$\begin{array}{c} x & y \\ - 2 & - 2 \\ - 1 & - 3.75 \\ 0 & - 4 \\ 1 & - 4.25 \\ 2 & - 6 \end{array}$

Graph y=1/4(-x)^3-4

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