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18 February, 19:55

If H (x) = 4x^2 - 16 were shifted 5 units to the right and 2 down, what would the new equation be?

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  1. 18 February, 21:33
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    We have the equation:

    h (x) = 4 x² - 16

    When shifted 5 units right:

    h (x) = 4 (x - 5) ² - 16

    And shifted 2 units down:

    h (x) = 4 (x - 5) ² - 16 - 2 = 4 (x - 5) ² - 18

    Answer:

    The new equation is: h (x) = 4 (x - 5) ² - 18.
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