Answer:
Standard Form:
[tex]y = {x}^{3} - 3 {x}^{2} + 3x - 4[/tex]
Another Form:
[tex]y = (x - 1)^{3} - 3[/tex]
Step-by-step explanation:
The type of graph or function is called Cubic Function
The type of graph is represented by the equation of y = a(x-h)³+k
Thus our equation for the graph is
[tex]y = {(x - 1)}^{ 3} - 3[/tex]
In case if you want standard form.
Simplify the expression.
[tex](x - y)^{3} = {x}^{3} - 3 {x}^{2} y + 3x {y}^{2} - {y}^{3} [/tex]
[tex]y ={x}^{3} - 3 {x}^{2} + 3x - 1 - 3 \\ y = {x}^{3} - 3 {x}^{2} + 3x - 4[/tex]
