[b]We often explore four types of function translations: reflections across the x-axis, vertical stretches, horizontal shifts, and vertical shifts. For a function f(x), a translated function g(x) often takes the form g(x)=a f(x+b)+c. Explore the following functions, using the appropriate sliders, to determine how the values of a, b, and c define function translations for many functions.[/b]

[br]1. Use the above applet to complete the task then confirm the the function on the readout matches the functions; f(x) and g(x), then sketch the two graphs. [br]

2. Describe the transformation necessary to transform the graph f(x)( solid line) into g(x) (dashed line).