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Questions
Questions

MHF4U - Advanced Functions 12 (2025-26) - A

Single choice

Identify the correct mapping rule (equations) for the function

Options
A.a. (x/2 + π/2 , -2y + 1)
B.b. (x/2 - π/2 , -2y + 1)
C.c. (x/4 + π/4 , 2y - 1)
D.d. (x/4 - π , 2y + 1)
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Standard Answer
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Approach Analysis
The task asks us to identify the correct mapping rule (equations) for the given function. We will evaluate each option to see if it matches the implied transformation pattern. Option a: (x/2 + π/2 , -2y + 1) - Here, the x-component is x/2 + π/2, which represents a horizontal scaling by a factor of 1/2 and a shift of π/2. The y-component is -2y + 1, which indicates a vertical reflection across the x-axis followed by a vertical stretch by a factor of 2 and then a vertical shift up by 1. If the original function......Login to view full explanation

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The function:f(x) = (x + 1)^3is transformed to:g(x) = 2(x + 1)^3 + 5Using the mapping rule, what is the image of the point (2, 27) on g(x)?

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