The vertex of this parabola is at (-2,-3).when the y value is -2 the x value is -5 what is the coefficient of the squared term in the parabola equation

Y=a (x-h) ^ + k
so your parabola has an equation of:
y=a(x+2)^ -3

-2=a(5+2) ^ -3
-2=a(-3)^-3
-2=9a-3

adding them to both sides
1=9a

divide both sides:
1=9a

Divide both sides by 9:
a=1/9

the vertex form is:
y=(1/9)(x+2)^-3

The expanded form is:
y=(1/9)x^ + (4/9)x - (23/9)

Anw: E. (1/9)