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Let f(x) = 2x

. Suppose that a new function g(x) is created by taking the

graph of f(x) and performing the following transformations:
• Reflection in the x-axis
• Reflection in the y-axis
• Vertical stretch by a factor of 3
• Translation up 2 units
• Translation right 3 units. [3, 2 marks]

a) Find a possible equation for g(x).



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