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f(x)=c
None
f(x)=x
(0,0)(1,1)(-1,-1)
f(x)=X²
(0,0)(1,1)(-1,1)
f(x)=x³
(0,0)(1,1)(-1,-1)
f(x)=|x|
(0,0)(1,1)(-1,1)
f(x)=square root of x
(0,0)(1,1)(4,2)
f(x)=1/x
(0,0)(1,1)(-1,-1)
y=-f(x)
Vertical reflection over the x-axis
y=f(-x)
Horizontal reflection over the y-axis
y=af(x), a>1
vertical stretch by a
y=f(ax), a>1
horizontal shrink by 1/a
y=af(x), a<1
Vertical shrink by a
y=f(ax), a<1
Horizontal stretch by 1/a
y=f(x)+k
Vertical shift up by k
y=f(x)-k
Vertical shift down by k
y=f(x+k)
Horizontal shift left by k
y=f(x-k)
Horizontal shift right by k
Order?
Reflections, stretches and shrinks
Shifts last