Transformations can make it tough to understand exponential and radical functions. Many students find it hard to see how shifts, stretches, and reflections change the graphs. Let’s break it down:
Horizontal Shifts: When we move the graph left or right, it changes the input of the function. This can be confusing.
Vertical Shifts: Changing the output of the function can make it hard to figure out how the graph behaves.
Stretches and Compressions: Different amounts of stretching or squeezing can change how we see growth or decay.
To make these ideas clearer, it's helpful to practice graphing transformations one step at a time. This will help you understand how each change affects the graph.
Transformations can make it tough to understand exponential and radical functions. Many students find it hard to see how shifts, stretches, and reflections change the graphs. Let’s break it down:
Horizontal Shifts: When we move the graph left or right, it changes the input of the function. This can be confusing.
Vertical Shifts: Changing the output of the function can make it hard to figure out how the graph behaves.
Stretches and Compressions: Different amounts of stretching or squeezing can change how we see growth or decay.
To make these ideas clearer, it's helpful to practice graphing transformations one step at a time. This will help you understand how each change affects the graph.