Which transformation would result in the area of a polygon being different
from the area of its pre-image?
(x, y) + (-x,- y)
(x, y) → (-y)-x)
(x, y) → (x + hy + k), where h and k are real numbers

for this case we must apply distributive property to the following expression:

the distributive property states that:

then, when applying the property we have to multiply the -2 for each term within the parenthesis:

the height of the surface increases from the center out to the sides of the road.

step-by-step explanation:

as we move out we move away from the x-axis.

and as mentioned in the problem statement that height of a road increases when we move away from the center x.

hence proved that 3rd option

the height of the surface increases from the center out to the sides of the road.

is the correct option.