The function g(x) = -|x| is a transformation of the absolute value parent function. What does this graph look like?

Answer && Step-by-step explanation:

We know x is a linear graph which looks something like a diagonal line, coming from the bottom left towards the top right

it will always be negative due to the negative sign being outside the abs val,

and the abs val, making the inside positive.

thus the resulting graph will be inverted from what was previously said

it will now come from the bottom right to the top left (still a diagonal line)

step-by-step explanation:

the triangles are similar. therefore the corresponding sides are in proportion:

              cross multiply

            divide both sides by 32

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.