Graphs of y=f(x+a)

Author:: sbreen, Carlos , mathtasksproj

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 in each case?

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

? What if

?

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