The owner of a yoga studio models her profits using a quadratic function, where x is the number of classes offered each day and is the daily profit. When she offers 5 classes, the profits are $700. When she offers 9 classes, the profits are $1,180. The studio’s daily operating costs are $800 regardless of the number of classes offered, which means P(x)= -800 when the number of classes is 0.

What is the standard form equation of the function modeling the owner’s profits?