if f(x) = 2x^2 – 3x + 4, then f(x + 3) is equal to

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if f(x) = 2x^2 – 3x + 4, then f(x + 3) is equal to

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    2021-11-25T19:56:58+00:00

    f(x + 3) = 2x² + 9x + 13

    substitute x = x + 3 into f(x)

    f(x + 3) = 2(x + 3)² – 3(x + 3) + 4 = 2(x² + 6x + 9) – 3x – 9 + 4

    f(x + 3 ) = 2x² + 12x + 18 – 3x – 9 + 4 = 2x² + 9x + 13

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