Hello, ty2391!
Another approach . . .
Determine the equation of the parabola with xintercepts 6 and 2, and a yintercept of 4.
The general form of the parabola is; .
Since the yintercept is 4, the point satisfies the equation.
. . We have: .
The equation (so far) is: .
Here is a sketch of the parabola . . . Code:

* 
* : *
* :  *
* :  *
: 
*++*
6 2  2

We know that the axis of the parabola is halfway between the xintecepts.
. . That is, the vertex lies on the vertical line
We also know that the vertex is at
. . Then: .
So the equation is: .
Since satisfies the equation, we have:
. .
Therefore, the equation is: .