Explain why the graph of the equation g(x)=-(x+1)^2-3 would be a parabola opening downward.

The parabola opens downwards since a=____ and this value is _____ 0.

The choices for the second blank question are:
-less than
-greater than
-equal to

Respuesta :

g(x) = -(x + 1)^2 - 3

Let's simplify this equation

g(x) = -(x^2 + 2x + 1) - 3

Distribute the negative sign

g(x) = -x^2 - 2x + 1 - 3

Combine like terms

g(x) = -x^2 - 2x - 2

The value of a = -2 and this value is LESS THAN 0