𝒚 = |𝒇(𝒙)| 𝒂𝒏𝒅 𝒚 = 𝒇(|𝒙|)
To sketch the graph of 𝑦 = |𝑓(𝑥)|:
o Sketch the graph of 𝑦 = 𝑓(𝑥)
o reflect any parts where 𝑓(𝑥) < 0 in the x-axis
(parts below the x-axis)
o delete the parts below the x-axis
To sketch the graph of 𝑦 = 𝑓(|𝑥 |):
o Sketch the graph of 𝑦 = 𝑓(𝑥) for 𝑥 ≥ 0
o reflect this in the y-axis
To sketch the graph of 𝑦 = |𝑓(𝑥)|:
o Sketch the graph of 𝑦 = 𝑓(𝑥)
o reflect any parts where 𝑓(𝑥) < 0 in the x-axis
(parts below the x-axis)
o delete the parts below the x-axis
To sketch the graph of 𝑦 = 𝑓(|𝑥 |):
o Sketch the graph of 𝑦 = 𝑓(𝑥) for 𝑥 ≥ 0
o reflect this in the y-axis
