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

1 Answer
Mar 29, 2017

Answer:

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>=0#, hence reflecting anything below the x-axis up.

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