Question

What is the equation of the parabola that has a vertex at `(45, -6)` and passes through point `(31,-29)`?

Answer 1

`y=-23/196(x-45)^2-6`

Explanation:

`y=a(x-45)^2-6`. Plugging in 31, you get `y=a*196-6`, so `a*196=-23, a=-23/196`. So `y=-23/196(x-45)^2-6`