Question

The vertex of this parabola is at (5, 5). When the x-value is 6, the y-value is -1. What is the coefficient of the squared expression in the parabola's equation?

Answer 1

The equation of a parabola : (y-k) = a(x-h)²
vertex coordinates: V(h, k) = (5 , 5) [ given]. Pug in:
(y-5) = a(x-5)².
This parabola passes through A(6 , -1). Plug in the coordinates of A

(-1-5) = a(6 - 5)² ; -6 a and the coefficient a = - 6