Understanding how reflections work on linear graphs can be tricky.
To do this well, you need to know about transformations. Here are some common issues students face:
Identifying the Graph Type: It’s really important to figure out if the graph is linear before you try to change it.
Determining Reflection Lines: Reflections can happen across the x-axis or y-axis. Knowing which one to use can be confusing sometimes.
If you want to reflect a function ( f(x) ) across the x-axis, you just use ( -f(x) ). If you’re reflecting across the y-axis, you would use ( f(-x) ).
Making sure to practice different examples and using graphing tools can really help make these transformations clearer!
Understanding how reflections work on linear graphs can be tricky.
To do this well, you need to know about transformations. Here are some common issues students face:
Identifying the Graph Type: It’s really important to figure out if the graph is linear before you try to change it.
Determining Reflection Lines: Reflections can happen across the x-axis or y-axis. Knowing which one to use can be confusing sometimes.
If you want to reflect a function ( f(x) ) across the x-axis, you just use ( -f(x) ). If you’re reflecting across the y-axis, you would use ( f(-x) ).
Making sure to practice different examples and using graphing tools can really help make these transformations clearer!