Graphs of y=f(x)+a

Use the slider on each graph to change the values of in the functions , , and .

What is the relationship between the pair of graphs and ?

y=f(x)

What is the relationship between the pair of graphs and ?

y=g(x)

What is the relationship between the pair of graphs and ?

y=h(x)

Can you make a general conjecture about the relationship between the graphs of and from your observations about the graphs of the pairs of functions above?