1. Let's start by understanding what a transformation is: it's like changing a shape or picture on a graph by moving it, flipping it, or making it bigger or smaller. 2. A combining transformation means doing more than one of these changes one after the other. 3. For example, you could first move a shape to the right (translation), then flip it over (reflection). 4. Think of transformations like steps to change a sticker: first, you slide it, then you turn it upside down. 5. In math, we write this as applying functions one after the other, like $(f \circ g)(x) = f(g(x))$, which means you do $g$ first, then $f$ on the result. 6. If $g$ moves the shape, and $f$ flips it, combining them means the shape is moved and then flipped. 7. Remember, the order matters! Doing the flip first, then the move can give a different result. 8. So, combining transformations is just doing more than one change to your shape, step by step, to get the new picture!