Science:Math Exam Resources/Courses/MATH110/December 2012/Question 01 (a)/Solution 1

The graph of $f(x)=\cos x$ looks like this:

The rules for shifting functions tell us that

• Multiplying the function by 2 increases its amplitude (stretch the height of the graph) by 2,
• subtracting by $\pi$ on the inside of the function shifts the graph right by $\pi$ units,

giving: