SOLUTION: Suppose the point (4, -6) is on the graph of y = f(x). Which of the following is a point on the graph of y = 3f(x � 2) + 4?

Question 916789: Suppose the point (4, -6) is on the graph of y = f(x). Which of the following is a point on the graph of y = 3f(x � 2) + 4?
Answer by MathLover1(20850) (Show Source): You can put this solution on YOUR website!

The old graph was .
The new graph, after transformation, is ' = ('- )+ , which can also be written as (' -)/ = (' - ).
(Here the accent sign ' denotes "new coordinate"; and not differentation or derivative of a variable or anything.)
Hence the transformation is
= ' -
= (' -)/
The old coordinates were (,) = (,).
So the new coordinates (', ') are found by solving
= ' - => = ' => = '
= (' -)/ =>=' -=>=' - =>=' =>='
Hence the new coordinates are (',') = (, ).

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