section6: scaling parallel to the y-axisscaling parallel to the y-axis basically means
expanding/shrinking the graph vertically i.e. the new y-coordinates are
multiples of the original y-coordinates.
take the following y=f(x) for example:
the graph cuts the y-axis at y=2.
for a
y=2f(x), the y-coordinates of the graph will be
multiplied by 2.
hence this graph will cut the y-axis at y=4 instead.
for a
y=1/2f(x) graph, the y-coordinates of the graph will be
multiplied by 0.5.
hence this graph will cut the y-axis at y=1 instead.
e.g. y = x + 2
just remember, for a y=af(x) graph,
the y-coordinate will be
multiplied by a.
question time!
the graph of y=g(x) is transformed to give y=2g(x).which of the following is the new graph?