Question

What is the equation for the graph?

Answer 1

Standard Form:

`y = {x}^(3) - 3 {x}^(2) + 3x - 4`

Another Form:

`y = (x - 1)^(3) - 3`

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

`y = {(x - 1)}^( 3) - 3`

In case if you want standard form.

Simplify the expression.

`(x - y)^(3) = {x}^(3) - 3 {x}^(2) y + 3x {y}^(2) - {y}^(3)`

`y ={x}^(3) - 3 {x}^(2) + 3x - 1 - 3 \\ y = {x}^(3) - 3 {x}^(2) + 3x - 4`