quadratic function

Question

Determine the equation of the quadratic function with vertex (1,4) and passing through the point (−2,−5)

y=

Answer 1

y = a (x-1)^2 +4, Substituting the other point, -5 = a(-2-1)^2 + 4, -5 = 9a +4, -9 = 9a, -1 = a. y= -(x-1)^2 + 4.