fill in the equation for this function.\ny = ?(x - )^3+

Explanation:

Step1: Identify the form of cubic - function

The general form of a cubic function is $y = a(x - h)^3 + k$, where $(h,k)$ is the vertex of the cubic function.

Step2: Find the vertex

The vertex of the given cubic - function graph is at the point $(0,0)$. So, $h = 0$ and $k = 0$.

Step3: Find the value of $a$

We can use another point on the graph. Let's use the point $(1,2)$. Substitute $x = 1$, $y = 2$, $h = 0$, and $k = 0$ into the equation $y=a(x - h)^3 + k$. We get $2=a(1 - 0)^3+0$, which simplifies to $2=a\times1^3$, so $a = 2$.

Answer:

$y = 2(x - 0)^3+0$