Which of the following statements is true about the graphs of f(x)=x and g(x)=f(x+5)?

Question

Choose the correct letter. Explain.

 

a. g(x) and f(x) have the same y-intercept.

 

b. g(x) is the graph of f(x) translated 5 units to the left.

Answer 1

When a number is grouped with the x as in

this problem, it will move the graph right (if it

is minus) and it will move it left (if it is plus),

therefore the original graph will move to the 

left 5 units.