Write the equation of the quadratic function with roots -9 and and -3 and a vertex at (-6, -1).

The equation of the quadratic function is:  

Explanation

The two roots of the quadratic function are given as  -9 and -3

So, the associative factors for those two roots will be and

Thus, the quadratic function will be:  

Now the vertex is at (-6, -1). As the vertex lies on the graph of this quadratic function, so that vertex point will satisfy equation (1).

So, plugging x= -6 and y = -1 into the equation (1)..........

So, the quadratic function will be.....