A coal car on a train weighs 30 tons plus 1 ton per cubic yard of coal x that it carries. The total weight of a coal car is: f(x) = x + 30. How will the graph of this function change if the coal car weight is changed to 26 tons? (1 point) a The line will shift vertically up by 4 tons. b The line will shift vertically up 26 tons. c The line will shift vertically down by 4 tons. d The line will shift vertically down by 26 tons.

Answer: Then the graph of the function f(x) will change shifting vertically down (because the negative sign in 4) by 4 tons.Option c. The line will shift vertically down by 4 tons.
Solution:Total weight of a coal car: f(x)=x+30How will the graph of this function change if the coal car weight is changed to 26 tons?The total weight of the coal car would be: g(x)=x+26f(x)=x+3030=26+4f(x)=x+26+4g(x)=x+26f(x)=g(x)+4Subtracting 4 both sides of the equation:f(x)-4=g(x)+4-4f(x)-4=g(x)g(x)=f(x)-4Then the graph of the function f(x) will change shifting vertically down (because the negative sign in 4) by 4 tons.