section1: translation parellel to the x-axistranslation parallel to the x-axis basically means
moving the graph to the left or to the right i.e. only the
x co-ordinate changes.
take the following y=f(x) for example:
the graph cuts the x-axis at x=1 and x=5.
for a
y=f(x+1), the graph will
move to the left by 1 unit.
hence this graph will cut the x-axis at x=0 and x=4 instead.
for a
y=f(x-1) graph, the graph will
move to the right by 1 unit.
hence this graph will cut the x-axis at x=2 and x=6 instead.
e.g. y = 2x
just remember, for a y=f(x+a) graph,
when
a>0, the graph moves
left.
when
a<0, the graph moves
right.
isn't this as easy as ABC? good! now for a question to test your abilities!
the following graph undergoes a y=f(3+x) transformation.
which of the following is the new graph? CLICK ON IT!
