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 parabola's equation

Answer 1

a=4/81

Explanation:

Hopefully this helps :)

Answer 2

4/81 = a

Explanation:

The vertex form of a parabola is

y = a (x-h)^2 +k where (h,k) is the is the vertex

y = a (x- -5)^2 -2

y = a (x+5)^2 -2

Substituting the point into the equation

2 = a( 4+5)^2 -2

2 = a( 9)^2 -2

2 = a (81) -2

Add 2 to each side

4 = 81 a

Divide each side by 81

4/81 = a