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 :-

(-5,-28)

i graphed to on desmos.

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step-by-step explanation:

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