Question

The vertex of this parabola is at (-5, -2). When the x-value is -4, the y-value is 2. What is the coefficient of the squared expression in the parabolas equation?

Answer 1

in vertex the parabola is
y = a(x -b)^2 + c
vertex is at (-5,-2) s0
y = a(x +5)^2 - 2
x = -4 when y = 2
so 2 = a(-4+5^)2 - 2
2 = a - 2
a = 4
therefor 4 is the coefficient of x^2 in the parabola's equation