section8: square root graphthis may be one of this topic's
most difficult type of transformation. but fear not! cause here are some
easy ways to draw the daunting square root graph.
in a square root graph, all the
y co-ordinates are square-rooted, and this
includes the horizontal asymptotes.
take the following y=f(x) graph for example:
the y co-ordinates are y=2 and y=0
the square root of this graph will have y co-ordinates y=squareroot2 and y=0.
since
negative numbers cannot be squarerooted, the negative portion of the y=f(x) graph is
omitted in the squareroot graph.
N.B. when you squareroot values
lesser than 1, the answer will be
more than the original value. e.g. squareroot (0.5) = 0.7 (1 s.f.)
when you squareroot values
more than 1, the answer will be
less than the original value.
hence a close-up view of the graph will look like this:
e.g. a random y=f(x) graph, y=squareroot f(x) in green
now let's move on to the next section to complete your knowledge of this section!
