Page 57 - Math SL HB Sem 1

l trNCTtoNs !.()tr.\'Uo NS, IN[.Qt r]\l.l I lI,tS
,

1r) Stretching from the y_axis.

/\
The equation v = f lIl represenrs a translormation applied lo the x-values, The tenn I
,
,
li )
q
represents a transrormation on the x- values as opposed to a transformation
on the graph of f (x).
The effect of 'q' in term I
is that of dilation from the y-axis.
q
/ t'\
For the curve with equation y = , rhe effect on rhe graph of (x)
l;J,
l. Illql > l, represents ,srretching,
f(x) by a factor q liom the y_axis.
2. IfO <lql< l, represents shrinking, (x)byafactor 1
,
from the y-axis.
q
'[he

relationship between the orrginal coordinates (x, y) and the new coordinates (xl.yl) can be
seen in the diagram below.
v
I
Where; x' .. ]-
q
q
-_'} y -y
(*, y) (*' y')
,
x

Uxample I
Given the graph of
S, - f(x). Sketch the graph o[. v
a) y-2/'(x)
(0,1) v=f (x)
b) 3y = .f (x)
c) y = f(2x)

tl) y = 11 11
_) -2 4

(6,- t)

j-l l