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.

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

** 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

** **

* 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.*