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Common graph shifts and stretches
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Noung
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Fri Jun 01 2001 at 14:33:46
Common shifts and stretches on graphs involve moving a function
f(x)
around on a graph in accordance with the
shift
or
stretch
in question.
1. Y-Stretch: y = k * f(x)
The original graph is simply stretched along the
y-axis
by multiplying the function by a number. If k is less than 1, then the graph is
squashed
rather than
stretched
.
2. Y-shift: y = f(x) + a
This is where the whole
graph
is moved up or down the y-axis according to the value of a. a = 2 will move it 2 square up, a = -3 will move it 3 down.
3. X-Shift: y = f( x - a )
The whole graph slides to left or right according to the value of a. It is inversed - ie. a positive value for a moves the graph to the
left
, and
vice-versa
.
4. X-Stretch: Y = f(kx)
As with Y-stretch, but scrunches/stretches on the X-axis and go the "wrong way" as well a
multiplier
scrunches the graph, a divider stretches it out.
printable version
chaos
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Shift
X
Y
axis
Notation
function
f(x)
graph
x-axis
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