I’ve got just a minor question regarding the Vertex Form challenge, but here’s my answer:

**Q1. Given y = (-1/3)(***x* - 2)(*x* - 8) and a vertex of (5, 3), write the Vertex Form

**A1. y = (-1/3)(***x* - 5)² + 3

A1a. y = (-1/3)(*x* - 5)(*x* - 5) + 3

A1b. y = (-1/3)(*x*² - 5*x* - 5*x* + 25) + 3

A1c. y = (-1/3)(*x*² - 10x + 25) + 3

A1d. y = (-1/3)*x*² - (10/3)*x* - (25/3) + 3

A1e. y = (-1/3)*x*² - (10/3)*x* - (25/3) + (9/3)

A1f. y = (-1/3)*x*² - (10/3)*x* - (16/3)

My question:

I kept on messing up when I would get to steps 1b - 1e. For the constant value at the end, I kept on adding it to the 25 which (obviously) gave me the wrong answer. Is it correct, then, for those steps to be interpreted as the following (hidden for spoilers):

y = ((-1/3)(*x*² - 5*x* - 5*x* + 25)) + 3

y = ((-1/3)(*x*² - 10*x* + 25)) + 3

y = (-1/3)*x*² + (10/3)*x* - (25/3) + 3

etc. …

I’ve added extra parentheses to hopefully show where my head is at… If I need to clarify further I’d be more than happy to! I feel like ultimately I’m getting hung up by not seeing the (*x* - 5)(*x* - 5) = (*x*² - 10*x* + 25) as it’s own discrete quantity that needs to remain isolated until the value of *a* is multiplied across, but I just want to be sure I’m checking myself correctly before getting much farther.