AB Math 30-1 Course

 

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page 13 q10

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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Solutions for the released 2022 Mathematics 30-1 Practice Diploma Exam:

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