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Contents
Scaling
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Scaling
Scaling
parallel to the x-axis
Given
the graph y = f(x), to sketch the graph of
y = f (ax)
scale
the graph of y = f(x) parallel to the x-axis by scale factor 1/a.
This
means multiplying every x-coordinate by 1/a.
 Example:
Sketch the graph of y = x4 + x2, and hence
sketch the graph of y = 16x4 + 4x2.
Solution:
Graph
of y = x4 + x2:
Graph
of y = 16 x4 + 4x2 :
On
inspection, y can be rewritten as:
y = (2x)4 + (2x)2
= f (2x)
-->
Scale parallel to the x-axis by factor 1/2.
Scaling
parallel to the y-axis
Given
the graph y = f(x), to sketch the graph of
y = a f(x)
scale
y = f(x) parallel to the y-axis with scale factor a.
This
means multiplying every y-coordinate by a.
Example:
Sketch the graph of y = x2 + 3x + 4, and hence
sketch the graph of y = 2f(x).
Solution:
Graph
of y = x2 + 3x + 4:
Graph
of y = 2 f(x)
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