What are the domain and range of y=-5/6(x+2)^2-8? PLEASE HELP WILL MARK BRAINIST AND GIVE OUT FREE MORE POINTS IF YOU ARE CORRECT I DO CHECK IT PLEASE AND THANK YOU !!

Domain: allrealnumbers

Range: f(x) <= -8

Step-by-step explanation:

This equation shows that this shape is a parabola that is opening downwards (because of the negative in the -5/6)

This means it has a highest point. The x+2 means the curve is shifted/slid/tranlated to the right 2 units and the -8 at the end shows that it is slid/shifted/translated down 8 units. So the curve only exists starting from -8 and going down. That is the range f(x) <= -8

All upward and downward opening parabolas have a domain of all real numbers.

Let's see

Domain is R

Now

Vertex form of parabola:-

On comparing with this

Hence

Range :-

fist on the left goes with the third on the right. second on the left goes with the fourth on the right. third on the left goes with the second on the right. the fourth on the left goes with first on the right

-2 is the right