Which graph represents the function g(x) = |x + 4| + 2? image for option 1 image for option 2 image for option 3 image for option 4

The graph in the attached figure

Step-by-step explanation:

we have

The vertex of the function is the point (-4,2)

The y-intercepts is the point (0,6)

using a graphing tool

see the attached figure

hello from mrbilldoesmath!

answer:

(7 x + 6 y) (49 x^2 - 42 x y + 36 y^2)

discussion:

the trick is to recognize that 343 = 7^3 and 216 = 6^3 and, in general,

a^3 + b^3 =   (a + b) (a^2 - a b + b^2).

in our case

343x^3+216y^3   =   (7x)^3 + (6y)^3

so take a = 7x and b = 6y in the above equation to get the answer.

you,

mrb

the furthest the dog can be is 508 meters away from the house, and the closest he can be is 492 meters away from the house.