Answer:

Explanation:
We are here given a graph of a equation and we are interested in finding the equation .
From the given graph we can see that it cuts the x axis at point (3,0) . This graph represents a quadratic function and its two zeroes are 3,3 . We can write the equation using the two zeroes .
Say if the zeroes of the quadratic equation are p and q , then the quadratic equation can be written as ,

And the quadratic function can be written as ,
![\longrightarrow f(x)= k[ (x-p)(x-q)]](https://img.qammunity.org/2023/formulas/mathematics/high-school/oj7q9ji1dh61h64w0l3czme1xm2jd7vo0w.png)
where k is a constant .In this case k = 1 . So we can write the function as ,

Distribute ,

Simplify by opening the brackets,

Add like terms,

And we are done!