Respuesta :

Answer:

The vertex is the point (-1,4)

The domain is the interval (-∞,∞)

The range is the interval  (-∞,4]

Step-by-step explanation:

we have

[tex]f(x)=-(x+1)^2+4[/tex]

This is the equation of a vertical parabola written in vertex form

The parabola open downward (because the leading coefficient is negative)

The vertex represent a maximum

The vertex is the point (-1,4)

The domain is the interval (-∞,∞)

The domain is all real numbers

The range is the interval  (-∞,4]

[tex]y\leq 4[/tex]

The range is all real numbers less than or equal to 4

Answer:

 

The vertex is (-1, 4), the domain is all real numbers, and the range is y ≤ 4.

Step-by-step explanation: