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)