This week in precalc I learned that the completing the square form of an equation is the same as a general quadratic graphing equation, so if I complete the square I can easily fill in a graph.

If an equation is in standard factoring form, I can simply convert that to a completing the square form as well, allowing me to easily solve graphs so long as I can change the equation to what I need it to be.

Additionally, if an equation is already factored, I simply expand it, and continue on until I have completed the square.

Essentially, all I need to do is complete the steps to convert it to the right form, and the graph becomes easy to solve.

The form I need to find looks like this: