(FUN)ctions Part Two- Transformations

Welcome back to our series on functions! In Part Two we're all about transformations...

A transformed function is one which has been altered in a specific way, resulting in a different appearance on the x/y coordinate grid. This could mean being shifted up, down, to the right or left. Functions can also be reflected in the x axis or the y axis. 

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 Look at this example- a visual representation ofwhat happens when you alter a function according to the rules above.


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 ACT Practice

What is relationship between f(x) and g(x) ? 

A. g(x)= f(x+5)
B. g(x)= f(x+3)-5
C. g(x) = f(x-3)-5
D. f(x)= g(x+7)+3 


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 Answer: To transform f(x) into g(x), the parabola needs to move 3 units to the left, and 5 units down (be careful when reading the axes numbering). So the answer is B.