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9 September, 06:55

If H (x) = 4x^2-16 were shifted 9 units to the right and 1 down, what wold be the new equation?

A. H (x) = 4 (x+9) ^2-17

B. H (x) = 4 (x-7) ^2+16

C. H (x) = 4 (x-17) ^2-9

D. H (x) = 4 (x-9) ^2-17

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Answers (1)
  1. 9 September, 07:17
    0
    To move a function c units to the right, minus c from every x

    to move a function c units up, add c to the whole function

    so

    we want 9 to the right and 1 down

    basically we need to find f (x-9) - 1 (-1 is up - 1 units)

    f (x-9) - 1=4 (x-9) ²-16-1

    f (x-9) = 4 (x-9) ²-17

    answer is D
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