What is the equation (in graphing form) for the parabola with vertex (2,4) that passes through the point (6,10)?
Get the vertex at (2,4):
y = c(x-2)2 + 4
Find the coefficient c by just plugging in (6,10) for x and y.
10 = c(6-2)2 + 4
6 = 16c
3/8 = c
y = (3/8)(x-2)2 + 4