Functions and Graphs, SMB-002 A function has the equation `f(x)=(x-2)^2-5`. State the range of `f(x)`. (2 marks) Show Answers Only `text{Range}\ f(x): \ y>=-5` Show Worked Solution `text{Consider the function transformation:}` `y=x^2\ \ text{translated 2 units to the right}\ \ =>\ \ y=(x-2)^2` `y=(x-2)^2\ text{translated 5 units down}\ \ =>\ \ y=(x-2)^2-5` `:.\ text{Range}\ f(x): \ y>=-5`