Graphs of y=F(x)+a

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

Task 1

What is the relationship between the pair of graphs and below?

y=f(x)

Task 2

What is the relationship between the pair of graphs and below?

y=g(x)

Task 3

What is the relationship between the pair of graphs and below?

y=h(x)

Task 4

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? What happens when ? What happens when ? What happens when ?