If I am given the coordinates of the vertex of a parabola and the coordinatesof a point that it passes through, how do I find the equation?
$\displaystyle y = a(x-h)^2 + k
$
$\displaystyle (h,k)$ is the vertex
$\displaystyle (x_1,y_1)$ is the given point ... sub in $\displaystyle x_1$ for $\displaystyle x$ and $\displaystyle y_1$ for $\displaystyle y$ and calculate the coefficient $\displaystyle a$ .