For the function f(x) = -(x + 1)2 + 4, identify the vertex, domain, and range.
The vertex is (-1,4), the domain is all real numbers, and the range is y 24.
The vertex is (-1,4), the domain is all real numbers, and the range is y s 4.
O The vertex is (1,4), the domain is all real numbers, and the range is y z 4.
The vertex is (1,4), the domain is all real numbers, and the range is y less than or equal to 4.

b

step-by-step explanation:

the equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b) a point on the line

calculate m using the slope formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (0, 4) and (x₂, y₂ ) = (3, - 5) ← 2 points on the line

m = = = - 3

with m = - 3 and (a, b) = (3, - 5), then

y - (- 5) = - 3(x - 3), that is

y + 5 = - 3(x - 3) → b

option b  

step-by-step explanation:

we know that

the distance from point n to lm in the figure is equal to the distance of the perpendicular line to lm that passes through the point n

so

the distance is equal to the segment no

> given problem

therefore

the distance from point n to lm is equal to