Google Classroom
GeoGebraGeoGebra Classroom

Graphs of y=f(x+a)

Part A

Using the slider in each graph check what happens when you change the value of in , , and and compare to the original functions and . What is the relationship between the pairs of graphs?

f(x)

g(x)

h(x)

Part B

Can you make a general conjecture about the relationship between the graphs of and from your observations? What happens if ? What if ?