I'm getting confused with the order to perform graph transformations when there are two or more to perform. Is there an easy set of rules to follow to get them right all the time?
I'm getting confused with the order to perform graph transformations when there are two or more to perform. Is there an easy set of rules to follow to get them right all the time?
Thanks in advance
Set of rules? No, this isn't Decision maths.
Just put a bracket around x and that can help transform it in a more accessible way for you.
First one: the graph is 'reflected' (so to speak) in y=0 because y is always positive. Second one: The graph is reflected in x=0 because x is always positive.
Although they're the same equation, why does the |x| in the second one change the shape of the function?
Because the |x| term is always positive but if it was just x on its own then it can be positive or negative depending if x>0 or x<0. For the curve ∣x∣2+∣x∣−3 you have to consider two separate cases, when x<0 and when x≥0.