section2: scaling parallel to the x-axisscaling parallel to the x-axis basically means
expanding/shrinking the graph horizontally i.e. the new x-coordinates are
multiples of the original x-coordinates.
take the following y=f(x) for example: the graph cuts the x-axis at x=1 and x=5.
for a
y=f(2x), the x-coordinates of the graph will be
multiplied by 0.5.
hence this graph will cut the x-axis at x=0.5 and x=2.5 instead.
for a
y=f(1/2x) graph, the x-coordinates of the graph will be
multiplied by 2.
hence this graph will cut the x-axis at x=2 and x=10 instead.
e.g. y = x + 2
just remember, for a y=f(ax) graph,
the x-coordinate will be
multiplied by the reciprocal of a i.e.
divided by a.
YAY it's assessment time again!
now the following graph undergoes a transformation of y=h(4x).
which of the following graphs is the correct answer? choose wisely!
