Shifts are important changes that affect the graphs of functions in Year 10 Math. There are two main types of shifts: horizontal and vertical.

1. Horizontal Shifts:

   • If we move a function $f(x)$ to the right by $a$ units, we write it as $f(x - a)$.
   • If we move a function $f(x)$ to the left by $a$ units, we write it as $f(x + a)$.

2. Vertical Shifts:

   • If we move a function $f(x)$ up by $b$ units, we write it as $f(x) + b$.
   • If we move a function $f(x)$ down by $b$ units, we write it as $f(x) - b$.

Fun Fact:

• Up to 50% of GCSE questions include transformations like these.

Understanding shifts helps us read graphs better. This knowledge can improve our problem-solving skills and lead to better exam scores!