REFLECTIONS
A quick recap of the rules about reflecting graphs:
If you put a negative sign in front of the whole equation, the graph will reflect in the
𝒙-axis (in the example below, see green and blue as one reflected pair and purple
and red as another).
If you put a negative sign in front of just the 𝑥, the graph will reflect in the 𝒚-axis.
(Now see green and purple as one reflected pair and red and blue as another).
e.g.
y
y=¿
x
y=−¿
Notation:
Function Reflection about Reflection about
the 𝑥-axis the 𝑦-axis
𝒚 = 𝒇(𝒙) −𝒚 = 𝒇(𝒙) 𝒚 = −𝒇( 𝒙) 𝒚 = 𝒇(−𝒙)
Do Ex
A quick recap of the rules about reflecting graphs:
If you put a negative sign in front of the whole equation, the graph will reflect in the
𝒙-axis (in the example below, see green and blue as one reflected pair and purple
and red as another).
If you put a negative sign in front of just the 𝑥, the graph will reflect in the 𝒚-axis.
(Now see green and purple as one reflected pair and red and blue as another).
e.g.
y
y=¿
x
y=−¿
Notation:
Function Reflection about Reflection about
the 𝑥-axis the 𝑦-axis
𝒚 = 𝒇(𝒙) −𝒚 = 𝒇(𝒙) 𝒚 = −𝒇( 𝒙) 𝒚 = 𝒇(−𝒙)
Do Ex
