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  • 11beehshahbaz: Following changes are made in graph of G(x) to obtain F(x)

    1) Vertical stretch by a factor of 2
    So, G(x) will be changed to 2G(x)

    2) Shift towards Right by 2 units
    So, 2G(x) will be changed to 2G(x - 2)

    3) Upward shift by 2 units.
    So, 2G(x - 2) will be changed to 2G(x - 2) + 2

    Thus,

    F(x) = 2G(x - 2) + 2
    F(x) = 2(x - 2)² + 2

    Therefore, option C is the correct answer

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