The graph of f (x) = |x| is transformed to
the graph of g(x) = f (x - 9) + 5.
a) Determine the equation of the
function g(x).
b) Compare the graph of g(x) to the graph
of the base function f (x).
c) Determine three points on the graph of
f (x). Write the coordinates of the image
points if you perform the horizontal
translation first and then the vertical
translation.
d) Using the same original points from
part c), write the coordinates of the
image points if you perform the vertical
translation first and then the horizontal
translation.
e) What do you notice about the
coordinates of the image points from
parts c) and d)? Is the order of the
translations important?
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