Question

For the function f(x) = -(x + 1)2 + 4, identify the vertex, domain, and range. (2 points)

Answer 1

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

Explanation:

Answer 2

The vertex is the point (-1,4)

The domain is the interval (-∞,∞)

The range is the interval (-∞,4]

Explanation:

we have

`f(x)=-(x+1)^2+4`

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]

`y\leq 4`

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