# How do you graph y = | x^3 - 1 |?

Mar 29, 2017

graph{|x^3-1| [-5, 5, -5, 5]}

#### Explanation:

Firstly, understand a general cubic graph,

$y = {x}^{3}$
graph{y=x^3 [-5, 5, -5, 5]}

Secondly, know that $c = - 1$, where $c$ is the y-intercept, so move the graph down to $- 1$.

$y = {x}^{3} - 1$
graph{y=x^3-1 [-5, 5, -5, 5]}

Thirdly, by inserting the modulus function, any value that is negative will be positive, so $y \ge 0$, hence reflecting anything below the x-axis up.

$y = | {x}^{3} - 1 |$
graph{|x^3-1| [-5, 5, -5, 5]}